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Finding the Third Proportional to 32,202 and 48,207

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Solution

The third proportional to 32,202 and 48,207 is: 72,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202 : 48,207 = 48,207 : x
  2. Step 2: Convert to fraction form
    32,202/48,207 = 48,207/x
  3. Step 3: Cross multiply
    32,202x = 48,207 × 48,207
  4. Step 4: Simplify right side
    32,202x = 2,323,914,849
  5. Step 5: Solve for x
    x = 2,323,914,849/32,202
  6. Step 6: Final answer
    x = 72,166.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.