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Finding the Third Proportional to 14,899 and 32,643

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Solution

The third proportional to 14,899 and 32,643 is: 71,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,899 : 32,643 = 32,643 : x
  2. Step 2: Convert to fraction form
    14,899/32,643 = 32,643/x
  3. Step 3: Cross multiply
    14,899x = 32,643 × 32,643
  4. Step 4: Simplify right side
    14,899x = 1,065,565,449
  5. Step 5: Solve for x
    x = 1,065,565,449/14,899
  6. Step 6: Final answer
    x = 71,519.26

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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.