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Finding the Third Proportional to 24,702 and 33,597

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Solution

The third proportional to 24,702 and 33,597 is: 45,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702 : 33,597 = 33,597 : x
  2. Step 2: Convert to fraction form
    24,702/33,597 = 33,597/x
  3. Step 3: Cross multiply
    24,702x = 33,597 × 33,597
  4. Step 4: Simplify right side
    24,702x = 1,128,758,409
  5. Step 5: Solve for x
    x = 1,128,758,409/24,702
  6. Step 6: Final answer
    x = 45,695.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.