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Finding the Third Proportional to 22,390 and 48,278

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Solution

The third proportional to 22,390 and 48,278 is: 104,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,390 : 48,278 = 48,278 : x
  2. Step 2: Convert to fraction form
    22,390/48,278 = 48,278/x
  3. Step 3: Cross multiply
    22,390x = 48,278 × 48,278
  4. Step 4: Simplify right side
    22,390x = 2,330,765,284
  5. Step 5: Solve for x
    x = 2,330,765,284/22,390
  6. Step 6: Final answer
    x = 104,098.49

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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.