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Finding the Third Proportional to 42,214.50 and 57,813.75

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Solution

The third proportional to 42,214.50 and 57,813.75 is: 79,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214.50 : 57,813.75 = 57,813.75 : x
  2. Step 2: Convert to fraction form
    42,214.50/57,813.75 = 57,813.75/x
  3. Step 3: Cross multiply
    42,214.50x = 57,813.75 × 57,813.75
  4. Step 4: Simplify right side
    42,214.50x = 3,342,429,689.06
  5. Step 5: Solve for x
    x = 3,342,429,689.06/42,214.50
  6. Step 6: Final answer
    x = 79,177.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.