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Finding the Third Proportional to 32,988 and 53,217

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Solution

The third proportional to 32,988 and 53,217 is: 85,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 53,217 = 53,217 : x
  2. Step 2: Convert to fraction form
    32,988/53,217 = 53,217/x
  3. Step 3: Cross multiply
    32,988x = 53,217 × 53,217
  4. Step 4: Simplify right side
    32,988x = 2,832,049,089
  5. Step 5: Solve for x
    x = 2,832,049,089/32,988
  6. Step 6: Final answer
    x = 85,850.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.