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Finding the Third Proportional to 32,478 and 47,565

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Solution

The third proportional to 32,478 and 47,565 is: 69,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478 : 47,565 = 47,565 : x
  2. Step 2: Convert to fraction form
    32,478/47,565 = 47,565/x
  3. Step 3: Cross multiply
    32,478x = 47,565 × 47,565
  4. Step 4: Simplify right side
    32,478x = 2,262,429,225
  5. Step 5: Solve for x
    x = 2,262,429,225/32,478
  6. Step 6: Final answer
    x = 69,660.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.