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Finding the Third Proportional to 30,304.13 and 66,115.88

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Solution

The third proportional to 30,304.13 and 66,115.88 is: 144,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.13 : 66,115.88 = 66,115.88 : x
  2. Step 2: Convert to fraction form
    30,304.13/66,115.88 = 66,115.88/x
  3. Step 3: Cross multiply
    30,304.13x = 66,115.88 × 66,115.88
  4. Step 4: Simplify right side
    30,304.13x = 4,371,308,927.02
  5. Step 5: Solve for x
    x = 4,371,308,927.02/30,304.13
  6. Step 6: Final answer
    x = 144,247.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.