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Finding the Third Proportional to 24,050.25 and 41,265

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Solution

The third proportional to 24,050.25 and 41,265 is: 70,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050.25 : 41,265 = 41,265 : x
  2. Step 2: Convert to fraction form
    24,050.25/41,265 = 41,265/x
  3. Step 3: Cross multiply
    24,050.25x = 41,265 × 41,265
  4. Step 4: Simplify right side
    24,050.25x = 1,702,800,225
  5. Step 5: Solve for x
    x = 1,702,800,225/24,050.25
  6. Step 6: Final answer
    x = 70,801.77

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.