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Finding the Third Proportional to 22,988 and 34,049

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Solution

The third proportional to 22,988 and 34,049 is: 50,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,988 : 34,049 = 34,049 : x
  2. Step 2: Convert to fraction form
    22,988/34,049 = 34,049/x
  3. Step 3: Cross multiply
    22,988x = 34,049 × 34,049
  4. Step 4: Simplify right side
    22,988x = 1,159,334,401
  5. Step 5: Solve for x
    x = 1,159,334,401/22,988
  6. Step 6: Final answer
    x = 50,432.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.