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Finding the Third Proportional to 22,597 and 49,358

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Solution

The third proportional to 22,597 and 49,358 is: 107,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597 : 49,358 = 49,358 : x
  2. Step 2: Convert to fraction form
    22,597/49,358 = 49,358/x
  3. Step 3: Cross multiply
    22,597x = 49,358 × 49,358
  4. Step 4: Simplify right side
    22,597x = 2,436,212,164
  5. Step 5: Solve for x
    x = 2,436,212,164/22,597
  6. Step 6: Final answer
    x = 107,811.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.