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Finding the Third Proportional to 17,102.25 and 25,744.50

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Solution

The third proportional to 17,102.25 and 25,744.50 is: 38,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.25 : 25,744.50 = 25,744.50 : x
  2. Step 2: Convert to fraction form
    17,102.25/25,744.50 = 25,744.50/x
  3. Step 3: Cross multiply
    17,102.25x = 25,744.50 × 25,744.50
  4. Step 4: Simplify right side
    17,102.25x = 662,779,280.25
  5. Step 5: Solve for x
    x = 662,779,280.25/17,102.25
  6. Step 6: Final answer
    x = 38,753.92

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Why These Related Problems?

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