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Finding the Third Proportional to 21,584 and 45,742

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Solution

The third proportional to 21,584 and 45,742 is: 96,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584 : 45,742 = 45,742 : x
  2. Step 2: Convert to fraction form
    21,584/45,742 = 45,742/x
  3. Step 3: Cross multiply
    21,584x = 45,742 × 45,742
  4. Step 4: Simplify right side
    21,584x = 2,092,330,564
  5. Step 5: Solve for x
    x = 2,092,330,564/21,584
  6. Step 6: Final answer
    x = 96,938.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.