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Finding the Third Proportional to 30,772.13 and 66,637.13

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Solution

The third proportional to 30,772.13 and 66,637.13 is: 144,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.13 : 66,637.13 = 66,637.13 : x
  2. Step 2: Convert to fraction form
    30,772.13/66,637.13 = 66,637.13/x
  3. Step 3: Cross multiply
    30,772.13x = 66,637.13 × 66,637.13
  4. Step 4: Simplify right side
    30,772.13x = 4,440,506,428.27
  5. Step 5: Solve for x
    x = 4,440,506,428.27/30,772.13
  6. Step 6: Final answer
    x = 144,302.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.