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Finding the Third Proportional to 21,854.75 and 45,265

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Solution

The third proportional to 21,854.75 and 45,265 is: 93,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.75 : 45,265 = 45,265 : x
  2. Step 2: Convert to fraction form
    21,854.75/45,265 = 45,265/x
  3. Step 3: Cross multiply
    21,854.75x = 45,265 × 45,265
  4. Step 4: Simplify right side
    21,854.75x = 2,048,920,225
  5. Step 5: Solve for x
    x = 2,048,920,225/21,854.75
  6. Step 6: Final answer
    x = 93,751.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.