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Finding the Third Proportional to 13,928 and 29,407

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Solution

The third proportional to 13,928 and 29,407 is: 62,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928 : 29,407 = 29,407 : x
  2. Step 2: Convert to fraction form
    13,928/29,407 = 29,407/x
  3. Step 3: Cross multiply
    13,928x = 29,407 × 29,407
  4. Step 4: Simplify right side
    13,928x = 864,771,649
  5. Step 5: Solve for x
    x = 864,771,649/13,928
  6. Step 6: Final answer
    x = 62,088.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.