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Finding the Third Proportional to 465.75 and 1,097.88

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Solution

The third proportional to 465.75 and 1,097.88 is: 2,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 1,097.88 = 1,097.88 : x
  2. Step 2: Convert to fraction form
    465.75/1,097.88 = 1,097.88/x
  3. Step 3: Cross multiply
    465.75x = 1,097.88 × 1,097.88
  4. Step 4: Simplify right side
    465.75x = 1,205,329.52
  5. Step 5: Solve for x
    x = 1,205,329.52/465.75
  6. Step 6: Final answer
    x = 2,587.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.