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Finding the Third Proportional to 37,113.38 and 57,337.50

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Solution

The third proportional to 37,113.38 and 57,337.50 is: 88,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,113.38 : 57,337.50 = 57,337.50 : x
  2. Step 2: Convert to fraction form
    37,113.38/57,337.50 = 57,337.50/x
  3. Step 3: Cross multiply
    37,113.38x = 57,337.50 × 57,337.50
  4. Step 4: Simplify right side
    37,113.38x = 3,287,588,906.25
  5. Step 5: Solve for x
    x = 3,287,588,906.25/37,113.38
  6. Step 6: Final answer
    x = 88,582.32

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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.