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Finding the Third Proportional to 22,998 and 35,624

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Solution

The third proportional to 22,998 and 35,624 is: 55,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998 : 35,624 = 35,624 : x
  2. Step 2: Convert to fraction form
    22,998/35,624 = 35,624/x
  3. Step 3: Cross multiply
    22,998x = 35,624 × 35,624
  4. Step 4: Simplify right side
    22,998x = 1,269,069,376
  5. Step 5: Solve for x
    x = 1,269,069,376/22,998
  6. Step 6: Final answer
    x = 55,181.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.