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Finding the Third Proportional to 52,789.50 and 77,712.75

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Solution

The third proportional to 52,789.50 and 77,712.75 is: 114,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,789.50 : 77,712.75 = 77,712.75 : x
  2. Step 2: Convert to fraction form
    52,789.50/77,712.75 = 77,712.75/x
  3. Step 3: Cross multiply
    52,789.50x = 77,712.75 × 77,712.75
  4. Step 4: Simplify right side
    52,789.50x = 6,039,271,512.56
  5. Step 5: Solve for x
    x = 6,039,271,512.56/52,789.50
  6. Step 6: Final answer
    x = 114,402.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.