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Finding the Third Proportional to 10,220 and 14,468

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Solution

The third proportional to 10,220 and 14,468 is: 20,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220 : 14,468 = 14,468 : x
  2. Step 2: Convert to fraction form
    10,220/14,468 = 14,468/x
  3. Step 3: Cross multiply
    10,220x = 14,468 × 14,468
  4. Step 4: Simplify right side
    10,220x = 209,323,024
  5. Step 5: Solve for x
    x = 209,323,024/10,220
  6. Step 6: Final answer
    x = 20,481.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.