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Finding the Third Proportional to 21,548 and 45,867

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Solution

The third proportional to 21,548 and 45,867 is: 97,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548 : 45,867 = 45,867 : x
  2. Step 2: Convert to fraction form
    21,548/45,867 = 45,867/x
  3. Step 3: Cross multiply
    21,548x = 45,867 × 45,867
  4. Step 4: Simplify right side
    21,548x = 2,103,781,689
  5. Step 5: Solve for x
    x = 2,103,781,689/21,548
  6. Step 6: Final answer
    x = 97,632.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.