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Finding the Third Proportional to 52,525.50 and 70,764

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Solution

The third proportional to 52,525.50 and 70,764 is: 95,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,525.50 : 70,764 = 70,764 : x
  2. Step 2: Convert to fraction form
    52,525.50/70,764 = 70,764/x
  3. Step 3: Cross multiply
    52,525.50x = 70,764 × 70,764
  4. Step 4: Simplify right side
    52,525.50x = 5,007,543,696
  5. Step 5: Solve for x
    x = 5,007,543,696/52,525.50
  6. Step 6: Final answer
    x = 95,335.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.