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Finding the Third Proportional to 22,762 and 49,220

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Solution

The third proportional to 22,762 and 49,220 is: 106,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762 : 49,220 = 49,220 : x
  2. Step 2: Convert to fraction form
    22,762/49,220 = 49,220/x
  3. Step 3: Cross multiply
    22,762x = 49,220 × 49,220
  4. Step 4: Simplify right side
    22,762x = 2,422,608,400
  5. Step 5: Solve for x
    x = 2,422,608,400/22,762
  6. Step 6: Final answer
    x = 106,432.14

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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.