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Finding the Third Proportional to 20,785 and 45,124

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Solution

The third proportional to 20,785 and 45,124 is: 97,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785 : 45,124 = 45,124 : x
  2. Step 2: Convert to fraction form
    20,785/45,124 = 45,124/x
  3. Step 3: Cross multiply
    20,785x = 45,124 × 45,124
  4. Step 4: Simplify right side
    20,785x = 2,036,175,376
  5. Step 5: Solve for x
    x = 2,036,175,376/20,785
  6. Step 6: Final answer
    x = 97,963.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.