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Finding the Third Proportional to 52,769.92 and 77,759.53

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Solution

The third proportional to 52,769.92 and 77,759.53 is: 114,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769.92 : 77,759.53 = 77,759.53 : x
  2. Step 2: Convert to fraction form
    52,769.92/77,759.53 = 77,759.53/x
  3. Step 3: Cross multiply
    52,769.92x = 77,759.53 × 77,759.53
  4. Step 4: Simplify right side
    52,769.92x = 6,046,543,788.98
  5. Step 5: Solve for x
    x = 6,046,543,788.98/52,769.92
  6. Step 6: Final answer
    x = 114,583.16

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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.