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Finding the Third Proportional to 15,124 and 32,786

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Solution

The third proportional to 15,124 and 32,786 is: 71,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124 : 32,786 = 32,786 : x
  2. Step 2: Convert to fraction form
    15,124/32,786 = 32,786/x
  3. Step 3: Cross multiply
    15,124x = 32,786 × 32,786
  4. Step 4: Simplify right side
    15,124x = 1,074,921,796
  5. Step 5: Solve for x
    x = 1,074,921,796/15,124
  6. Step 6: Final answer
    x = 71,073.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.