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Finding the Third Proportional to 47,061.56 and 69,022.13

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Solution

The third proportional to 47,061.56 and 69,022.13 is: 101,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,061.56 : 69,022.13 = 69,022.13 : x
  2. Step 2: Convert to fraction form
    47,061.56/69,022.13 = 69,022.13/x
  3. Step 3: Cross multiply
    47,061.56x = 69,022.13 × 69,022.13
  4. Step 4: Simplify right side
    47,061.56x = 4,764,053,739.52
  5. Step 5: Solve for x
    x = 4,764,053,739.52/47,061.56
  6. Step 6: Final answer
    x = 101,230.25

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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.