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Finding the Third Proportional to 32,290 and 47,376

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Solution

The third proportional to 32,290 and 47,376 is: 69,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290 : 47,376 = 47,376 : x
  2. Step 2: Convert to fraction form
    32,290/47,376 = 47,376/x
  3. Step 3: Cross multiply
    32,290x = 47,376 × 47,376
  4. Step 4: Simplify right side
    32,290x = 2,244,485,376
  5. Step 5: Solve for x
    x = 2,244,485,376/32,290
  6. Step 6: Final answer
    x = 69,510.23

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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.