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Finding the Third Proportional to 29,809.50 and 62,070

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Solution

The third proportional to 29,809.50 and 62,070 is: 129,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.50 : 62,070 = 62,070 : x
  2. Step 2: Convert to fraction form
    29,809.50/62,070 = 62,070/x
  3. Step 3: Cross multiply
    29,809.50x = 62,070 × 62,070
  4. Step 4: Simplify right side
    29,809.50x = 3,852,684,900
  5. Step 5: Solve for x
    x = 3,852,684,900/29,809.50
  6. Step 6: Final answer
    x = 129,243.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.