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Finding the Third Proportional to 32,220 and 39,348

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Solution

The third proportional to 32,220 and 39,348 is: 48,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,220 : 39,348 = 39,348 : x
  2. Step 2: Convert to fraction form
    32,220/39,348 = 39,348/x
  3. Step 3: Cross multiply
    32,220x = 39,348 × 39,348
  4. Step 4: Simplify right side
    32,220x = 1,548,265,104
  5. Step 5: Solve for x
    x = 1,548,265,104/32,220
  6. Step 6: Final answer
    x = 48,052.92

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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.