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Finding the Third Proportional to 32,324 and 47,422

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Solution

The third proportional to 32,324 and 47,422 is: 69,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324 : 47,422 = 47,422 : x
  2. Step 2: Convert to fraction form
    32,324/47,422 = 47,422/x
  3. Step 3: Cross multiply
    32,324x = 47,422 × 47,422
  4. Step 4: Simplify right side
    32,324x = 2,248,846,084
  5. Step 5: Solve for x
    x = 2,248,846,084/32,324
  6. Step 6: Final answer
    x = 69,572.02

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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.