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Finding the Third Proportional to 15,006 and 32,283

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Solution

The third proportional to 15,006 and 32,283 is: 69,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006 : 32,283 = 32,283 : x
  2. Step 2: Convert to fraction form
    15,006/32,283 = 32,283/x
  3. Step 3: Cross multiply
    15,006x = 32,283 × 32,283
  4. Step 4: Simplify right side
    15,006x = 1,042,192,089
  5. Step 5: Solve for x
    x = 1,042,192,089/15,006
  6. Step 6: Final answer
    x = 69,451.69

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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.