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Finding the Third Proportional to 13,736 and 15,688

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Solution

The third proportional to 13,736 and 15,688 is: 17,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736 : 15,688 = 15,688 : x
  2. Step 2: Convert to fraction form
    13,736/15,688 = 15,688/x
  3. Step 3: Cross multiply
    13,736x = 15,688 × 15,688
  4. Step 4: Simplify right side
    13,736x = 246,113,344
  5. Step 5: Solve for x
    x = 246,113,344/13,736
  6. Step 6: Final answer
    x = 17,917.40

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.