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Finding the Third Proportional to 5,306 and 11,522

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Solution

The third proportional to 5,306 and 11,522 is: 25,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 11,522 = 11,522 : x
  2. Step 2: Convert to fraction form
    5,306/11,522 = 11,522/x
  3. Step 3: Cross multiply
    5,306x = 11,522 × 11,522
  4. Step 4: Simplify right side
    5,306x = 132,756,484
  5. Step 5: Solve for x
    x = 132,756,484/5,306
  6. Step 6: Final answer
    x = 25,020.07

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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.