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Finding the Third Proportional to 9,952 and 21,446

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Solution

The third proportional to 9,952 and 21,446 is: 46,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952 : 21,446 = 21,446 : x
  2. Step 2: Convert to fraction form
    9,952/21,446 = 21,446/x
  3. Step 3: Cross multiply
    9,952x = 21,446 × 21,446
  4. Step 4: Simplify right side
    9,952x = 459,930,916
  5. Step 5: Solve for x
    x = 459,930,916/9,952
  6. Step 6: Final answer
    x = 46,214.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.