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Finding the Third Proportional to 52,317.56 and 75,924.84

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Solution

The third proportional to 52,317.56 and 75,924.84 is: 110,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,317.56 : 75,924.84 = 75,924.84 : x
  2. Step 2: Convert to fraction form
    52,317.56/75,924.84 = 75,924.84/x
  3. Step 3: Cross multiply
    52,317.56x = 75,924.84 × 75,924.84
  4. Step 4: Simplify right side
    52,317.56x = 5,764,581,898.46
  5. Step 5: Solve for x
    x = 5,764,581,898.46/52,317.56
  6. Step 6: Final answer
    x = 110,184.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.