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Finding the Third Proportional to 24,592.50 and 57,735

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Solution

The third proportional to 24,592.50 and 57,735 is: 135,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.50 : 57,735 = 57,735 : x
  2. Step 2: Convert to fraction form
    24,592.50/57,735 = 57,735/x
  3. Step 3: Cross multiply
    24,592.50x = 57,735 × 57,735
  4. Step 4: Simplify right side
    24,592.50x = 3,333,330,225
  5. Step 5: Solve for x
    x = 3,333,330,225/24,592.50
  6. Step 6: Final answer
    x = 135,542.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.