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Finding the Third Proportional to 5,337 and 11,581

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Solution

The third proportional to 5,337 and 11,581 is: 25,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337 : 11,581 = 11,581 : x
  2. Step 2: Convert to fraction form
    5,337/11,581 = 11,581/x
  3. Step 3: Cross multiply
    5,337x = 11,581 × 11,581
  4. Step 4: Simplify right side
    5,337x = 134,119,561
  5. Step 5: Solve for x
    x = 134,119,561/5,337
  6. Step 6: Final answer
    x = 25,130.14

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Why These Related Problems?

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