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Finding the Third Proportional to 13,924 and 18,658

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Solution

The third proportional to 13,924 and 18,658 is: 25,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924 : 18,658 = 18,658 : x
  2. Step 2: Convert to fraction form
    13,924/18,658 = 18,658/x
  3. Step 3: Cross multiply
    13,924x = 18,658 × 18,658
  4. Step 4: Simplify right side
    13,924x = 348,120,964
  5. Step 5: Solve for x
    x = 348,120,964/13,924
  6. Step 6: Final answer
    x = 25,001.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.