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Finding the Third Proportional to 35,991 and 78,893

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Solution

The third proportional to 35,991 and 78,893 is: 172,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,991 : 78,893 = 78,893 : x
  2. Step 2: Convert to fraction form
    35,991/78,893 = 78,893/x
  3. Step 3: Cross multiply
    35,991x = 78,893 × 78,893
  4. Step 4: Simplify right side
    35,991x = 6,224,105,449
  5. Step 5: Solve for x
    x = 6,224,105,449/35,991
  6. Step 6: Final answer
    x = 172,935.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.