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Finding the Third Proportional to 22,006.50 and 45,795

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Solution

The third proportional to 22,006.50 and 45,795 is: 95,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.50 : 45,795 = 45,795 : x
  2. Step 2: Convert to fraction form
    22,006.50/45,795 = 45,795/x
  3. Step 3: Cross multiply
    22,006.50x = 45,795 × 45,795
  4. Step 4: Simplify right side
    22,006.50x = 2,097,182,025
  5. Step 5: Solve for x
    x = 2,097,182,025/22,006.50
  6. Step 6: Final answer
    x = 95,298.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.