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Finding the Third Proportional to 37,203.38 and 56,140.50

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Solution

The third proportional to 37,203.38 and 56,140.50 is: 84,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,203.38 : 56,140.50 = 56,140.50 : x
  2. Step 2: Convert to fraction form
    37,203.38/56,140.50 = 56,140.50/x
  3. Step 3: Cross multiply
    37,203.38x = 56,140.50 × 56,140.50
  4. Step 4: Simplify right side
    37,203.38x = 3,151,755,740.25
  5. Step 5: Solve for x
    x = 3,151,755,740.25/37,203.38
  6. Step 6: Final answer
    x = 84,716.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.