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Finding the Third Proportional to 20,863.25 and 45,265.75

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Solution

The third proportional to 20,863.25 and 45,265.75 is: 98,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.25 : 45,265.75 = 45,265.75 : x
  2. Step 2: Convert to fraction form
    20,863.25/45,265.75 = 45,265.75/x
  3. Step 3: Cross multiply
    20,863.25x = 45,265.75 × 45,265.75
  4. Step 4: Simplify right side
    20,863.25x = 2,048,988,123.06
  5. Step 5: Solve for x
    x = 2,048,988,123.06/20,863.25
  6. Step 6: Final answer
    x = 98,210.40

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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.