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Finding the Third Proportional to 52,049.25 and 77,931

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Solution

The third proportional to 52,049.25 and 77,931 is: 116,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.25 : 77,931 = 77,931 : x
  2. Step 2: Convert to fraction form
    52,049.25/77,931 = 77,931/x
  3. Step 3: Cross multiply
    52,049.25x = 77,931 × 77,931
  4. Step 4: Simplify right side
    52,049.25x = 6,073,240,761
  5. Step 5: Solve for x
    x = 6,073,240,761/52,049.25
  6. Step 6: Final answer
    x = 116,682.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.