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Finding the Third Proportional to 22,096 and 45,487

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Solution

The third proportional to 22,096 and 45,487 is: 93,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096 : 45,487 = 45,487 : x
  2. Step 2: Convert to fraction form
    22,096/45,487 = 45,487/x
  3. Step 3: Cross multiply
    22,096x = 45,487 × 45,487
  4. Step 4: Simplify right side
    22,096x = 2,069,067,169
  5. Step 5: Solve for x
    x = 2,069,067,169/22,096
  6. Step 6: Final answer
    x = 93,639.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.