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Finding the Third Proportional to 42,934.50 and 57,840.75

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Solution

The third proportional to 42,934.50 and 57,840.75 is: 77,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,934.50 : 57,840.75 = 57,840.75 : x
  2. Step 2: Convert to fraction form
    42,934.50/57,840.75 = 57,840.75/x
  3. Step 3: Cross multiply
    42,934.50x = 57,840.75 × 57,840.75
  4. Step 4: Simplify right side
    42,934.50x = 3,345,552,360.56
  5. Step 5: Solve for x
    x = 3,345,552,360.56/42,934.50
  6. Step 6: Final answer
    x = 77,922.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.