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Finding the Third Proportional to 11,408 and 24,688

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Solution

The third proportional to 11,408 and 24,688 is: 53,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408 : 24,688 = 24,688 : x
  2. Step 2: Convert to fraction form
    11,408/24,688 = 24,688/x
  3. Step 3: Cross multiply
    11,408x = 24,688 × 24,688
  4. Step 4: Simplify right side
    11,408x = 609,497,344
  5. Step 5: Solve for x
    x = 609,497,344/11,408
  6. Step 6: Final answer
    x = 53,427.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.