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Finding the Third Proportional to 14,998 and 32,443

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Solution

The third proportional to 14,998 and 32,443 is: 70,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998 : 32,443 = 32,443 : x
  2. Step 2: Convert to fraction form
    14,998/32,443 = 32,443/x
  3. Step 3: Cross multiply
    14,998x = 32,443 × 32,443
  4. Step 4: Simplify right side
    14,998x = 1,052,548,249
  5. Step 5: Solve for x
    x = 1,052,548,249/14,998
  6. Step 6: Final answer
    x = 70,179.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.