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Finding the Third Proportional to 33,565.88 and 47,053.13

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Solution

The third proportional to 33,565.88 and 47,053.13 is: 65,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,565.88 : 47,053.13 = 47,053.13 : x
  2. Step 2: Convert to fraction form
    33,565.88/47,053.13 = 47,053.13/x
  3. Step 3: Cross multiply
    33,565.88x = 47,053.13 × 47,053.13
  4. Step 4: Simplify right side
    33,565.88x = 2,213,996,572.27
  5. Step 5: Solve for x
    x = 2,213,996,572.27/33,565.88
  6. Step 6: Final answer
    x = 65,959.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.