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Finding the Third Proportional to 25,761 and 36,766.50

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Solution

The third proportional to 25,761 and 36,766.50 is: 52,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,761 : 36,766.50 = 36,766.50 : x
  2. Step 2: Convert to fraction form
    25,761/36,766.50 = 36,766.50/x
  3. Step 3: Cross multiply
    25,761x = 36,766.50 × 36,766.50
  4. Step 4: Simplify right side
    25,761x = 1,351,775,522.25
  5. Step 5: Solve for x
    x = 1,351,775,522.25/25,761
  6. Step 6: Final answer
    x = 52,473.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.