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Finding the Third Proportional to 22,926 and 48,614

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Solution

The third proportional to 22,926 and 48,614 is: 103,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926 : 48,614 = 48,614 : x
  2. Step 2: Convert to fraction form
    22,926/48,614 = 48,614/x
  3. Step 3: Cross multiply
    22,926x = 48,614 × 48,614
  4. Step 4: Simplify right side
    22,926x = 2,363,320,996
  5. Step 5: Solve for x
    x = 2,363,320,996/22,926
  6. Step 6: Final answer
    x = 103,084.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.