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Finding the Third Proportional to 1,434.80 and 3,042.14

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Solution

The third proportional to 1,434.80 and 3,042.14 is: 6,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.80 : 3,042.14 = 3,042.14 : x
  2. Step 2: Convert to fraction form
    1,434.80/3,042.14 = 3,042.14/x
  3. Step 3: Cross multiply
    1,434.80x = 3,042.14 × 3,042.14
  4. Step 4: Simplify right side
    1,434.80x = 9,254,619.58
  5. Step 5: Solve for x
    x = 9,254,619.58/1,434.80
  6. Step 6: Final answer
    x = 6,450.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.