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Finding the Third Proportional to 1,324.16 and 3,113.91

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Solution

The third proportional to 1,324.16 and 3,113.91 is: 7,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.16 : 3,113.91 = 3,113.91 : x
  2. Step 2: Convert to fraction form
    1,324.16/3,113.91 = 3,113.91/x
  3. Step 3: Cross multiply
    1,324.16x = 3,113.91 × 3,113.91
  4. Step 4: Simplify right side
    1,324.16x = 9,696,448.62
  5. Step 5: Solve for x
    x = 9,696,448.62/1,324.16
  6. Step 6: Final answer
    x = 7,322.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.