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Finding the Third Proportional to 49,452 and 77,519.50

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Solution

The third proportional to 49,452 and 77,519.50 is: 121,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,452 : 77,519.50 = 77,519.50 : x
  2. Step 2: Convert to fraction form
    49,452/77,519.50 = 77,519.50/x
  3. Step 3: Cross multiply
    49,452x = 77,519.50 × 77,519.50
  4. Step 4: Simplify right side
    49,452x = 6,009,272,880.25
  5. Step 5: Solve for x
    x = 6,009,272,880.25/49,452
  6. Step 6: Final answer
    x = 121,517.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.