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Finding the Third Proportional to 22,551 and 48,229

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Solution

The third proportional to 22,551 and 48,229 is: 103,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551 : 48,229 = 48,229 : x
  2. Step 2: Convert to fraction form
    22,551/48,229 = 48,229/x
  3. Step 3: Cross multiply
    22,551x = 48,229 × 48,229
  4. Step 4: Simplify right side
    22,551x = 2,326,036,441
  5. Step 5: Solve for x
    x = 2,326,036,441/22,551
  6. Step 6: Final answer
    x = 103,145.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.