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Finding the Third Proportional to 40,521 and 61,341

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Solution

The third proportional to 40,521 and 61,341 is: 92,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,521 : 61,341 = 61,341 : x
  2. Step 2: Convert to fraction form
    40,521/61,341 = 61,341/x
  3. Step 3: Cross multiply
    40,521x = 61,341 × 61,341
  4. Step 4: Simplify right side
    40,521x = 3,762,718,281
  5. Step 5: Solve for x
    x = 3,762,718,281/40,521
  6. Step 6: Final answer
    x = 92,858.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.