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Finding the Third Proportional to 15,008 and 32,287

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Solution

The third proportional to 15,008 and 32,287 is: 69,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,008 : 32,287 = 32,287 : x
  2. Step 2: Convert to fraction form
    15,008/32,287 = 32,287/x
  3. Step 3: Cross multiply
    15,008x = 32,287 × 32,287
  4. Step 4: Simplify right side
    15,008x = 1,042,450,369
  5. Step 5: Solve for x
    x = 1,042,450,369/15,008
  6. Step 6: Final answer
    x = 69,459.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.