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Finding the Third Proportional to 2,301.75 and 3,555.14

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Solution

The third proportional to 2,301.75 and 3,555.14 is: 5,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.75 : 3,555.14 = 3,555.14 : x
  2. Step 2: Convert to fraction form
    2,301.75/3,555.14 = 3,555.14/x
  3. Step 3: Cross multiply
    2,301.75x = 3,555.14 × 3,555.14
  4. Step 4: Simplify right side
    2,301.75x = 12,639,024.86
  5. Step 5: Solve for x
    x = 12,639,024.86/2,301.75
  6. Step 6: Final answer
    x = 5,491.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.