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Finding the Third Proportional to 24,101.81 and 37,069.13

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Solution

The third proportional to 24,101.81 and 37,069.13 is: 57,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.81 : 37,069.13 = 37,069.13 : x
  2. Step 2: Convert to fraction form
    24,101.81/37,069.13 = 37,069.13/x
  3. Step 3: Cross multiply
    24,101.81x = 37,069.13 × 37,069.13
  4. Step 4: Simplify right side
    24,101.81x = 1,374,120,028.27
  5. Step 5: Solve for x
    x = 1,374,120,028.27/24,101.81
  6. Step 6: Final answer
    x = 57,013.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.