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Finding the Third Proportional to 13,774 and 15,502

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Solution

The third proportional to 13,774 and 15,502 is: 17,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 15,502 = 15,502 : x
  2. Step 2: Convert to fraction form
    13,774/15,502 = 15,502/x
  3. Step 3: Cross multiply
    13,774x = 15,502 × 15,502
  4. Step 4: Simplify right side
    13,774x = 240,312,004
  5. Step 5: Solve for x
    x = 240,312,004/13,774
  6. Step 6: Final answer
    x = 17,446.78

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.