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Finding the Third Proportional to 14,488 and 23,972

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Solution

The third proportional to 14,488 and 23,972 is: 39,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488 : 23,972 = 23,972 : x
  2. Step 2: Convert to fraction form
    14,488/23,972 = 23,972/x
  3. Step 3: Cross multiply
    14,488x = 23,972 × 23,972
  4. Step 4: Simplify right side
    14,488x = 574,656,784
  5. Step 5: Solve for x
    x = 574,656,784/14,488
  6. Step 6: Final answer
    x = 39,664.33

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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.