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Finding the Third Proportional to 15,945.19 and 34,911.42

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Solution

The third proportional to 15,945.19 and 34,911.42 is: 76,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945.19 : 34,911.42 = 34,911.42 : x
  2. Step 2: Convert to fraction form
    15,945.19/34,911.42 = 34,911.42/x
  3. Step 3: Cross multiply
    15,945.19x = 34,911.42 × 34,911.42
  4. Step 4: Simplify right side
    15,945.19x = 1,218,807,377.33
  5. Step 5: Solve for x
    x = 1,218,807,377.33/15,945.19
  6. Step 6: Final answer
    x = 76,437.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.