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Finding the Third Proportional to 22,190 and 48,298.50

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Solution

The third proportional to 22,190 and 48,298.50 is: 105,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,190 : 48,298.50 = 48,298.50 : x
  2. Step 2: Convert to fraction form
    22,190/48,298.50 = 48,298.50/x
  3. Step 3: Cross multiply
    22,190x = 48,298.50 × 48,298.50
  4. Step 4: Simplify right side
    22,190x = 2,332,745,102.25
  5. Step 5: Solve for x
    x = 2,332,745,102.25/22,190
  6. Step 6: Final answer
    x = 105,125.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.