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Finding the Third Proportional to 14,999 and 32,822

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Solution

The third proportional to 14,999 and 32,822 is: 71,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,999 : 32,822 = 32,822 : x
  2. Step 2: Convert to fraction form
    14,999/32,822 = 32,822/x
  3. Step 3: Cross multiply
    14,999x = 32,822 × 32,822
  4. Step 4: Simplify right side
    14,999x = 1,077,283,684
  5. Step 5: Solve for x
    x = 1,077,283,684/14,999
  6. Step 6: Final answer
    x = 71,823.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.