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Finding the Third Proportional to 10,182 and 14,577

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Solution

The third proportional to 10,182 and 14,577 is: 20,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182 : 14,577 = 14,577 : x
  2. Step 2: Convert to fraction form
    10,182/14,577 = 14,577/x
  3. Step 3: Cross multiply
    10,182x = 14,577 × 14,577
  4. Step 4: Simplify right side
    10,182x = 212,488,929
  5. Step 5: Solve for x
    x = 212,488,929/10,182
  6. Step 6: Final answer
    x = 20,869.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.