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Finding the Third Proportional to 22,562 and 49,354

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Solution

The third proportional to 22,562 and 49,354 is: 107,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562 : 49,354 = 49,354 : x
  2. Step 2: Convert to fraction form
    22,562/49,354 = 49,354/x
  3. Step 3: Cross multiply
    22,562x = 49,354 × 49,354
  4. Step 4: Simplify right side
    22,562x = 2,435,817,316
  5. Step 5: Solve for x
    x = 2,435,817,316/22,562
  6. Step 6: Final answer
    x = 107,961.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.