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Finding the Third Proportional to 22,000 and 48,288

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Solution

The third proportional to 22,000 and 48,288 is: 105,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000 : 48,288 = 48,288 : x
  2. Step 2: Convert to fraction form
    22,000/48,288 = 48,288/x
  3. Step 3: Cross multiply
    22,000x = 48,288 × 48,288
  4. Step 4: Simplify right side
    22,000x = 2,331,730,944
  5. Step 5: Solve for x
    x = 2,331,730,944/22,000
  6. Step 6: Final answer
    x = 105,987.77

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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.