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Finding the Third Proportional to 10,305.67 and 19,304.26

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Solution

The third proportional to 10,305.67 and 19,304.26 is: 36,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.67 : 19,304.26 = 19,304.26 : x
  2. Step 2: Convert to fraction form
    10,305.67/19,304.26 = 19,304.26/x
  3. Step 3: Cross multiply
    10,305.67x = 19,304.26 × 19,304.26
  4. Step 4: Simplify right side
    10,305.67x = 372,654,520.51
  5. Step 5: Solve for x
    x = 372,654,520.51/10,305.67
  6. Step 6: Final answer
    x = 36,160.15

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.