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Finding the Third Proportional to 24,877.13 and 37,710.56

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Solution

The third proportional to 24,877.13 and 37,710.56 is: 57,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,877.13 : 37,710.56 = 37,710.56 : x
  2. Step 2: Convert to fraction form
    24,877.13/37,710.56 = 37,710.56/x
  3. Step 3: Cross multiply
    24,877.13x = 37,710.56 × 37,710.56
  4. Step 4: Simplify right side
    24,877.13x = 1,422,086,524.07
  5. Step 5: Solve for x
    x = 1,422,086,524.07/24,877.13
  6. Step 6: Final answer
    x = 57,164.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.