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Finding the Third Proportional to 10,282 and 14,559

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Solution

The third proportional to 10,282 and 14,559 is: 20,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282 : 14,559 = 14,559 : x
  2. Step 2: Convert to fraction form
    10,282/14,559 = 14,559/x
  3. Step 3: Cross multiply
    10,282x = 14,559 × 14,559
  4. Step 4: Simplify right side
    10,282x = 211,964,481
  5. Step 5: Solve for x
    x = 211,964,481/10,282
  6. Step 6: Final answer
    x = 20,615.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.