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Finding the Third Proportional to 22,444 and 47,210

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Solution

The third proportional to 22,444 and 47,210 is: 99,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,444 : 47,210 = 47,210 : x
  2. Step 2: Convert to fraction form
    22,444/47,210 = 47,210/x
  3. Step 3: Cross multiply
    22,444x = 47,210 × 47,210
  4. Step 4: Simplify right side
    22,444x = 2,228,784,100
  5. Step 5: Solve for x
    x = 2,228,784,100/22,444
  6. Step 6: Final answer
    x = 99,304.23

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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.