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Finding the Third Proportional to 32,683 and 48,892

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Solution

The third proportional to 32,683 and 48,892 is: 73,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683 : 48,892 = 48,892 : x
  2. Step 2: Convert to fraction form
    32,683/48,892 = 48,892/x
  3. Step 3: Cross multiply
    32,683x = 48,892 × 48,892
  4. Step 4: Simplify right side
    32,683x = 2,390,427,664
  5. Step 5: Solve for x
    x = 2,390,427,664/32,683
  6. Step 6: Final answer
    x = 73,139.79

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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.