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Finding the Third Proportional to 9,889 and 21,602

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Solution

The third proportional to 9,889 and 21,602 is: 47,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889 : 21,602 = 21,602 : x
  2. Step 2: Convert to fraction form
    9,889/21,602 = 21,602/x
  3. Step 3: Cross multiply
    9,889x = 21,602 × 21,602
  4. Step 4: Simplify right side
    9,889x = 466,646,404
  5. Step 5: Solve for x
    x = 466,646,404/9,889
  6. Step 6: Final answer
    x = 47,188.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.