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Finding the Third Proportional to 30,304.13 and 42,702.19

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Solution

The third proportional to 30,304.13 and 42,702.19 is: 60,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.13 : 42,702.19 = 42,702.19 : x
  2. Step 2: Convert to fraction form
    30,304.13/42,702.19 = 42,702.19/x
  3. Step 3: Cross multiply
    30,304.13x = 42,702.19 × 42,702.19
  4. Step 4: Simplify right side
    30,304.13x = 1,823,476,817.29
  5. Step 5: Solve for x
    x = 1,823,476,817.29/30,304.13
  6. Step 6: Final answer
    x = 60,172.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.