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Finding the Third Proportional to 34,840.13 and 77,331.38

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Solution

The third proportional to 34,840.13 and 77,331.38 is: 171,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,840.13 : 77,331.38 = 77,331.38 : x
  2. Step 2: Convert to fraction form
    34,840.13/77,331.38 = 77,331.38/x
  3. Step 3: Cross multiply
    34,840.13x = 77,331.38 × 77,331.38
  4. Step 4: Simplify right side
    34,840.13x = 5,980,141,559.39
  5. Step 5: Solve for x
    x = 5,980,141,559.39/34,840.13
  6. Step 6: Final answer
    x = 171,645.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.