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Finding the Third Proportional to 32,969 and 62,617

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Solution

The third proportional to 32,969 and 62,617 is: 118,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 62,617 = 62,617 : x
  2. Step 2: Convert to fraction form
    32,969/62,617 = 62,617/x
  3. Step 3: Cross multiply
    32,969x = 62,617 × 62,617
  4. Step 4: Simplify right side
    32,969x = 3,920,888,689
  5. Step 5: Solve for x
    x = 3,920,888,689/32,969
  6. Step 6: Final answer
    x = 118,926.53

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.