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Finding the Third Proportional to 1,160.34 and 2,442.19

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Solution

The third proportional to 1,160.34 and 2,442.19 is: 5,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.34 : 2,442.19 = 2,442.19 : x
  2. Step 2: Convert to fraction form
    1,160.34/2,442.19 = 2,442.19/x
  3. Step 3: Cross multiply
    1,160.34x = 2,442.19 × 2,442.19
  4. Step 4: Simplify right side
    1,160.34x = 5,964,279.79
  5. Step 5: Solve for x
    x = 5,964,279.79/1,160.34
  6. Step 6: Final answer
    x = 5,140.10

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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.