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Finding the Third Proportional to 22,070 and 47,846

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Solution

The third proportional to 22,070 and 47,846 is: 103,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,070 : 47,846 = 47,846 : x
  2. Step 2: Convert to fraction form
    22,070/47,846 = 47,846/x
  3. Step 3: Cross multiply
    22,070x = 47,846 × 47,846
  4. Step 4: Simplify right side
    22,070x = 2,289,239,716
  5. Step 5: Solve for x
    x = 2,289,239,716/22,070
  6. Step 6: Final answer
    x = 103,726.31

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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.