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Finding the Third Proportional to 10,578 and 15,559

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Solution

The third proportional to 10,578 and 15,559 is: 22,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578 : 15,559 = 15,559 : x
  2. Step 2: Convert to fraction form
    10,578/15,559 = 15,559/x
  3. Step 3: Cross multiply
    10,578x = 15,559 × 15,559
  4. Step 4: Simplify right side
    10,578x = 242,082,481
  5. Step 5: Solve for x
    x = 242,082,481/10,578
  6. Step 6: Final answer
    x = 22,885.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.