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Finding the Third Proportional to 41,035 and 64,289

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Solution

The third proportional to 41,035 and 64,289 is: 100,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,035 : 64,289 = 64,289 : x
  2. Step 2: Convert to fraction form
    41,035/64,289 = 64,289/x
  3. Step 3: Cross multiply
    41,035x = 64,289 × 64,289
  4. Step 4: Simplify right side
    41,035x = 4,133,075,521
  5. Step 5: Solve for x
    x = 4,133,075,521/41,035
  6. Step 6: Final answer
    x = 100,720.74

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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.