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Finding the Third Proportional to 40,480 and 85,893

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Solution

The third proportional to 40,480 and 85,893 is: 182,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,480 : 85,893 = 85,893 : x
  2. Step 2: Convert to fraction form
    40,480/85,893 = 85,893/x
  3. Step 3: Cross multiply
    40,480x = 85,893 × 85,893
  4. Step 4: Simplify right side
    40,480x = 7,377,607,449
  5. Step 5: Solve for x
    x = 7,377,607,449/40,480
  6. Step 6: Final answer
    x = 182,253.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.