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Finding the Third Proportional to 24,911.25 and 37,012.13

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Solution

The third proportional to 24,911.25 and 37,012.13 is: 54,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.25 : 37,012.13 = 37,012.13 : x
  2. Step 2: Convert to fraction form
    24,911.25/37,012.13 = 37,012.13/x
  3. Step 3: Cross multiply
    24,911.25x = 37,012.13 × 37,012.13
  4. Step 4: Simplify right side
    24,911.25x = 1,369,897,397.02
  5. Step 5: Solve for x
    x = 1,369,897,397.02/24,911.25
  6. Step 6: Final answer
    x = 54,991.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.