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Finding the Third Proportional to 32,478 and 39,564

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Solution

The third proportional to 32,478 and 39,564 is: 48,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478 : 39,564 = 39,564 : x
  2. Step 2: Convert to fraction form
    32,478/39,564 = 39,564/x
  3. Step 3: Cross multiply
    32,478x = 39,564 × 39,564
  4. Step 4: Simplify right side
    32,478x = 1,565,310,096
  5. Step 5: Solve for x
    x = 1,565,310,096/32,478
  6. Step 6: Final answer
    x = 48,196.01

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.