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Finding the Third Proportional to 3,417.19 and 5,945.91

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Solution

The third proportional to 3,417.19 and 5,945.91 is: 10,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.19 : 5,945.91 = 5,945.91 : x
  2. Step 2: Convert to fraction form
    3,417.19/5,945.91 = 5,945.91/x
  3. Step 3: Cross multiply
    3,417.19x = 5,945.91 × 5,945.91
  4. Step 4: Simplify right side
    3,417.19x = 35,353,801.13
  5. Step 5: Solve for x
    x = 35,353,801.13/3,417.19
  6. Step 6: Final answer
    x = 10,345.88

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.