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Finding the Third Proportional to 40,825.90 and 64,154.85

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Solution

The third proportional to 40,825.90 and 64,154.85 is: 100,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,825.90 : 64,154.85 = 64,154.85 : x
  2. Step 2: Convert to fraction form
    40,825.90/64,154.85 = 64,154.85/x
  3. Step 3: Cross multiply
    40,825.90x = 64,154.85 × 64,154.85
  4. Step 4: Simplify right side
    40,825.90x = 4,115,844,477.80
  5. Step 5: Solve for x
    x = 4,115,844,477.80/40,825.90
  6. Step 6: Final answer
    x = 100,814.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.