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Finding the Third Proportional to 1,158.05 and 2,342.67

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Solution

The third proportional to 1,158.05 and 2,342.67 is: 4,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.05 : 2,342.67 = 2,342.67 : x
  2. Step 2: Convert to fraction form
    1,158.05/2,342.67 = 2,342.67/x
  3. Step 3: Cross multiply
    1,158.05x = 2,342.67 × 2,342.67
  4. Step 4: Simplify right side
    1,158.05x = 5,488,111.51
  5. Step 5: Solve for x
    x = 5,488,111.51/1,158.05
  6. Step 6: Final answer
    x = 4,739.11

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.