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Finding the Third Proportional to 10,470 and 22,102

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Solution

The third proportional to 10,470 and 22,102 is: 46,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470 : 22,102 = 22,102 : x
  2. Step 2: Convert to fraction form
    10,470/22,102 = 22,102/x
  3. Step 3: Cross multiply
    10,470x = 22,102 × 22,102
  4. Step 4: Simplify right side
    10,470x = 488,498,404
  5. Step 5: Solve for x
    x = 488,498,404/10,470
  6. Step 6: Final answer
    x = 46,656.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.