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Finding the Third Proportional to 34,519.29 and 74,485.20

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Solution

The third proportional to 34,519.29 and 74,485.20 is: 160,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,519.29 : 74,485.20 = 74,485.20 : x
  2. Step 2: Convert to fraction form
    34,519.29/74,485.20 = 74,485.20/x
  3. Step 3: Cross multiply
    34,519.29x = 74,485.20 × 74,485.20
  4. Step 4: Simplify right side
    34,519.29x = 5,548,044,320.74
  5. Step 5: Solve for x
    x = 5,548,044,320.74/34,519.29
  6. Step 6: Final answer
    x = 160,723.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.