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Finding the Third Proportional to 15,857.02 and 34,447.78

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Solution

The third proportional to 15,857.02 and 34,447.78 is: 74,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.02 : 34,447.78 = 34,447.78 : x
  2. Step 2: Convert to fraction form
    15,857.02/34,447.78 = 34,447.78/x
  3. Step 3: Cross multiply
    15,857.02x = 34,447.78 × 34,447.78
  4. Step 4: Simplify right side
    15,857.02x = 1,186,649,633.05
  5. Step 5: Solve for x
    x = 1,186,649,633.05/15,857.02
  6. Step 6: Final answer
    x = 74,834.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.