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Finding the Third Proportional to 14,924 and 32,822

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Solution

The third proportional to 14,924 and 32,822 is: 72,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924 : 32,822 = 32,822 : x
  2. Step 2: Convert to fraction form
    14,924/32,822 = 32,822/x
  3. Step 3: Cross multiply
    14,924x = 32,822 × 32,822
  4. Step 4: Simplify right side
    14,924x = 1,077,283,684
  5. Step 5: Solve for x
    x = 1,077,283,684/14,924
  6. Step 6: Final answer
    x = 72,184.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.