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Finding the Third Proportional to 22,943 and 49,558

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Solution

The third proportional to 22,943 and 49,558 is: 107,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943 : 49,558 = 49,558 : x
  2. Step 2: Convert to fraction form
    22,943/49,558 = 49,558/x
  3. Step 3: Cross multiply
    22,943x = 49,558 × 49,558
  4. Step 4: Simplify right side
    22,943x = 2,455,995,364
  5. Step 5: Solve for x
    x = 2,455,995,364/22,943
  6. Step 6: Final answer
    x = 107,047.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.