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Finding the Third Proportional to 41,020 and 64,265

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Solution

The third proportional to 41,020 and 64,265 is: 100,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,020 : 64,265 = 64,265 : x
  2. Step 2: Convert to fraction form
    41,020/64,265 = 64,265/x
  3. Step 3: Cross multiply
    41,020x = 64,265 × 64,265
  4. Step 4: Simplify right side
    41,020x = 4,129,990,225
  5. Step 5: Solve for x
    x = 4,129,990,225/41,020
  6. Step 6: Final answer
    x = 100,682.36

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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.