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Finding the Third Proportional to 20,472 and 44,586

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Solution

The third proportional to 20,472 and 44,586 is: 97,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472 : 44,586 = 44,586 : x
  2. Step 2: Convert to fraction form
    20,472/44,586 = 44,586/x
  3. Step 3: Cross multiply
    20,472x = 44,586 × 44,586
  4. Step 4: Simplify right side
    20,472x = 1,987,911,396
  5. Step 5: Solve for x
    x = 1,987,911,396/20,472
  6. Step 6: Final answer
    x = 97,103.92

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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.