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Finding the Third Proportional to 14,005 and 23,129

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Solution

The third proportional to 14,005 and 23,129 is: 38,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005 : 23,129 = 23,129 : x
  2. Step 2: Convert to fraction form
    14,005/23,129 = 23,129/x
  3. Step 3: Cross multiply
    14,005x = 23,129 × 23,129
  4. Step 4: Simplify right side
    14,005x = 534,950,641
  5. Step 5: Solve for x
    x = 534,950,641/14,005
  6. Step 6: Final answer
    x = 38,197.12

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.