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Finding the Third Proportional to 45,396 and 60,674

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Solution

The third proportional to 45,396 and 60,674 is: 81,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,396 : 60,674 = 60,674 : x
  2. Step 2: Convert to fraction form
    45,396/60,674 = 60,674/x
  3. Step 3: Cross multiply
    45,396x = 60,674 × 60,674
  4. Step 4: Simplify right side
    45,396x = 3,681,334,276
  5. Step 5: Solve for x
    x = 3,681,334,276/45,396
  6. Step 6: Final answer
    x = 81,093.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.