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Finding the Third Proportional to 25,659 and 29,425.50

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Solution

The third proportional to 25,659 and 29,425.50 is: 33,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659 : 29,425.50 = 29,425.50 : x
  2. Step 2: Convert to fraction form
    25,659/29,425.50 = 29,425.50/x
  3. Step 3: Cross multiply
    25,659x = 29,425.50 × 29,425.50
  4. Step 4: Simplify right side
    25,659x = 865,860,050.25
  5. Step 5: Solve for x
    x = 865,860,050.25/25,659
  6. Step 6: Final answer
    x = 33,744.89

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.