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Finding the Third Proportional to 40,454 and 60,369

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Solution

The third proportional to 40,454 and 60,369 is: 90,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,454 : 60,369 = 60,369 : x
  2. Step 2: Convert to fraction form
    40,454/60,369 = 60,369/x
  3. Step 3: Cross multiply
    40,454x = 60,369 × 60,369
  4. Step 4: Simplify right side
    40,454x = 3,644,416,161
  5. Step 5: Solve for x
    x = 3,644,416,161/40,454
  6. Step 6: Final answer
    x = 90,087.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.