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Finding the Third Proportional to 29,971.13 and 62,812.13

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Solution

The third proportional to 29,971.13 and 62,812.13 is: 131,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.13 : 62,812.13 = 62,812.13 : x
  2. Step 2: Convert to fraction form
    29,971.13/62,812.13 = 62,812.13/x
  3. Step 3: Cross multiply
    29,971.13x = 62,812.13 × 62,812.13
  4. Step 4: Simplify right side
    29,971.13x = 3,945,363,047.02
  5. Step 5: Solve for x
    x = 3,945,363,047.02/29,971.13
  6. Step 6: Final answer
    x = 131,638.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.