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Finding the Third Proportional to 14,998 and 32,267

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Solution

The third proportional to 14,998 and 32,267 is: 69,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998 : 32,267 = 32,267 : x
  2. Step 2: Convert to fraction form
    14,998/32,267 = 32,267/x
  3. Step 3: Cross multiply
    14,998x = 32,267 × 32,267
  4. Step 4: Simplify right side
    14,998x = 1,041,159,289
  5. Step 5: Solve for x
    x = 1,041,159,289/14,998
  6. Step 6: Final answer
    x = 69,419.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.