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Finding the Third Proportional to 9,921 and 21,386

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Solution

The third proportional to 9,921 and 21,386 is: 46,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921 : 21,386 = 21,386 : x
  2. Step 2: Convert to fraction form
    9,921/21,386 = 21,386/x
  3. Step 3: Cross multiply
    9,921x = 21,386 × 21,386
  4. Step 4: Simplify right side
    9,921x = 457,360,996
  5. Step 5: Solve for x
    x = 457,360,996/9,921
  6. Step 6: Final answer
    x = 46,100.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.