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Finding the Third Proportional to 41,620 and 64,040

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Solution

The third proportional to 41,620 and 64,040 is: 98,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,620 : 64,040 = 64,040 : x
  2. Step 2: Convert to fraction form
    41,620/64,040 = 64,040/x
  3. Step 3: Cross multiply
    41,620x = 64,040 × 64,040
  4. Step 4: Simplify right side
    41,620x = 4,101,121,600
  5. Step 5: Solve for x
    x = 4,101,121,600/41,620
  6. Step 6: Final answer
    x = 98,537.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.