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Finding the Third Proportional to 22,438.50 and 47,202

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Solution

The third proportional to 22,438.50 and 47,202 is: 99,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.50 : 47,202 = 47,202 : x
  2. Step 2: Convert to fraction form
    22,438.50/47,202 = 47,202/x
  3. Step 3: Cross multiply
    22,438.50x = 47,202 × 47,202
  4. Step 4: Simplify right side
    22,438.50x = 2,228,028,804
  5. Step 5: Solve for x
    x = 2,228,028,804/22,438.50
  6. Step 6: Final answer
    x = 99,294.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.