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Finding the Third Proportional to 2,304.28 and 3,702.80

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Solution

The third proportional to 2,304.28 and 3,702.80 is: 5,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.28 : 3,702.80 = 3,702.80 : x
  2. Step 2: Convert to fraction form
    2,304.28/3,702.80 = 3,702.80/x
  3. Step 3: Cross multiply
    2,304.28x = 3,702.80 × 3,702.80
  4. Step 4: Simplify right side
    2,304.28x = 13,710,704.70
  5. Step 5: Solve for x
    x = 13,710,704.70/2,304.28
  6. Step 6: Final answer
    x = 5,950.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.