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Finding the Third Proportional to 13,437 and 28,719

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Solution

The third proportional to 13,437 and 28,719 is: 61,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437 : 28,719 = 28,719 : x
  2. Step 2: Convert to fraction form
    13,437/28,719 = 28,719/x
  3. Step 3: Cross multiply
    13,437x = 28,719 × 28,719
  4. Step 4: Simplify right side
    13,437x = 824,780,961
  5. Step 5: Solve for x
    x = 824,780,961/13,437
  6. Step 6: Final answer
    x = 61,381.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.