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Finding the Third Proportional to 7,472 and 10,559

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Solution

The third proportional to 7,472 and 10,559 is: 14,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472 : 10,559 = 10,559 : x
  2. Step 2: Convert to fraction form
    7,472/10,559 = 10,559/x
  3. Step 3: Cross multiply
    7,472x = 10,559 × 10,559
  4. Step 4: Simplify right side
    7,472x = 111,492,481
  5. Step 5: Solve for x
    x = 111,492,481/7,472
  6. Step 6: Final answer
    x = 14,921.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.