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Finding the Third Proportional to 15,647.34 and 34,793.09

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Solution

The third proportional to 15,647.34 and 34,793.09 is: 77,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.34 : 34,793.09 = 34,793.09 : x
  2. Step 2: Convert to fraction form
    15,647.34/34,793.09 = 34,793.09/x
  3. Step 3: Cross multiply
    15,647.34x = 34,793.09 × 34,793.09
  4. Step 4: Simplify right side
    15,647.34x = 1,210,558,829.05
  5. Step 5: Solve for x
    x = 1,210,558,829.05/15,647.34
  6. Step 6: Final answer
    x = 77,365.13

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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.