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Finding the Third Proportional to 1,160.06 and 2,434.03

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Solution

The third proportional to 1,160.06 and 2,434.03 is: 5,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.06 : 2,434.03 = 2,434.03 : x
  2. Step 2: Convert to fraction form
    1,160.06/2,434.03 = 2,434.03/x
  3. Step 3: Cross multiply
    1,160.06x = 2,434.03 × 2,434.03
  4. Step 4: Simplify right side
    1,160.06x = 5,924,508.13
  5. Step 5: Solve for x
    x = 5,924,508.13/1,160.06
  6. Step 6: Final answer
    x = 5,107.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.