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Finding the Third Proportional to 2,329.75 and 3,575.75

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Solution

The third proportional to 2,329.75 and 3,575.75 is: 5,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.75 : 3,575.75 = 3,575.75 : x
  2. Step 2: Convert to fraction form
    2,329.75/3,575.75 = 3,575.75/x
  3. Step 3: Cross multiply
    2,329.75x = 3,575.75 × 3,575.75
  4. Step 4: Simplify right side
    2,329.75x = 12,785,988.06
  5. Step 5: Solve for x
    x = 12,785,988.06/2,329.75
  6. Step 6: Final answer
    x = 5,488.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.