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Finding the Third Proportional to 37,938.38 and 58,897.13

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Solution

The third proportional to 37,938.38 and 58,897.13 is: 91,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,938.38 : 58,897.13 = 58,897.13 : x
  2. Step 2: Convert to fraction form
    37,938.38/58,897.13 = 58,897.13/x
  3. Step 3: Cross multiply
    37,938.38x = 58,897.13 × 58,897.13
  4. Step 4: Simplify right side
    37,938.38x = 3,468,871,333.27
  5. Step 5: Solve for x
    x = 3,468,871,333.27/37,938.38
  6. Step 6: Final answer
    x = 91,434.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.