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Finding the Third Proportional to 1,154.06 and 2,708.81

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Solution

The third proportional to 1,154.06 and 2,708.81 is: 6,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.06 : 2,708.81 = 2,708.81 : x
  2. Step 2: Convert to fraction form
    1,154.06/2,708.81 = 2,708.81/x
  3. Step 3: Cross multiply
    1,154.06x = 2,708.81 × 2,708.81
  4. Step 4: Simplify right side
    1,154.06x = 7,337,665.16
  5. Step 5: Solve for x
    x = 7,337,665.16/1,154.06
  6. Step 6: Final answer
    x = 6,358.12

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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.