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Finding the Third Proportional to 14,924 and 21,832

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Solution

The third proportional to 14,924 and 21,832 is: 31,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924 : 21,832 = 21,832 : x
  2. Step 2: Convert to fraction form
    14,924/21,832 = 21,832/x
  3. Step 3: Cross multiply
    14,924x = 21,832 × 21,832
  4. Step 4: Simplify right side
    14,924x = 476,636,224
  5. Step 5: Solve for x
    x = 476,636,224/14,924
  6. Step 6: Final answer
    x = 31,937.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.