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Finding the Third Proportional to 40,995 and 61,779

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Solution

The third proportional to 40,995 and 61,779 is: 93,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,995 : 61,779 = 61,779 : x
  2. Step 2: Convert to fraction form
    40,995/61,779 = 61,779/x
  3. Step 3: Cross multiply
    40,995x = 61,779 × 61,779
  4. Step 4: Simplify right side
    40,995x = 3,816,644,841
  5. Step 5: Solve for x
    x = 3,816,644,841/40,995
  6. Step 6: Final answer
    x = 93,100.25

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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.