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Finding the Third Proportional to 32,810 and 48,484

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Solution

The third proportional to 32,810 and 48,484 is: 71,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810 : 48,484 = 48,484 : x
  2. Step 2: Convert to fraction form
    32,810/48,484 = 48,484/x
  3. Step 3: Cross multiply
    32,810x = 48,484 × 48,484
  4. Step 4: Simplify right side
    32,810x = 2,350,698,256
  5. Step 5: Solve for x
    x = 2,350,698,256/32,810
  6. Step 6: Final answer
    x = 71,645.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.