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Finding the Third Proportional to 15,119 and 22,693

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Solution

The third proportional to 15,119 and 22,693 is: 34,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,119 : 22,693 = 22,693 : x
  2. Step 2: Convert to fraction form
    15,119/22,693 = 22,693/x
  3. Step 3: Cross multiply
    15,119x = 22,693 × 22,693
  4. Step 4: Simplify right side
    15,119x = 514,972,249
  5. Step 5: Solve for x
    x = 514,972,249/15,119
  6. Step 6: Final answer
    x = 34,061.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.