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Finding the Third Proportional to 22,065 and 47,836.50

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Solution

The third proportional to 22,065 and 47,836.50 is: 103,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065 : 47,836.50 = 47,836.50 : x
  2. Step 2: Convert to fraction form
    22,065/47,836.50 = 47,836.50/x
  3. Step 3: Cross multiply
    22,065x = 47,836.50 × 47,836.50
  4. Step 4: Simplify right side
    22,065x = 2,288,330,732.25
  5. Step 5: Solve for x
    x = 2,288,330,732.25/22,065
  6. Step 6: Final answer
    x = 103,708.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.