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Finding the Third Proportional to 52,519.50 and 77,955.75

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Solution

The third proportional to 52,519.50 and 77,955.75 is: 115,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,519.50 : 77,955.75 = 77,955.75 : x
  2. Step 2: Convert to fraction form
    52,519.50/77,955.75 = 77,955.75/x
  3. Step 3: Cross multiply
    52,519.50x = 77,955.75 × 77,955.75
  4. Step 4: Simplify right side
    52,519.50x = 6,077,098,958.06
  5. Step 5: Solve for x
    x = 6,077,098,958.06/52,519.50
  6. Step 6: Final answer
    x = 115,711.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.