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Finding the Third Proportional to 34,270.31 and 79,331.06

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Solution

The third proportional to 34,270.31 and 79,331.06 is: 183,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,270.31 : 79,331.06 = 79,331.06 : x
  2. Step 2: Convert to fraction form
    34,270.31/79,331.06 = 79,331.06/x
  3. Step 3: Cross multiply
    34,270.31x = 79,331.06 × 79,331.06
  4. Step 4: Simplify right side
    34,270.31x = 6,293,417,477.38
  5. Step 5: Solve for x
    x = 6,293,417,477.38/34,270.31
  6. Step 6: Final answer
    x = 183,640.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.