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Finding the Third Proportional to 2,497.50 and 3,678.75

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Solution

The third proportional to 2,497.50 and 3,678.75 is: 5,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.50 : 3,678.75 = 3,678.75 : x
  2. Step 2: Convert to fraction form
    2,497.50/3,678.75 = 3,678.75/x
  3. Step 3: Cross multiply
    2,497.50x = 3,678.75 × 3,678.75
  4. Step 4: Simplify right side
    2,497.50x = 13,533,201.56
  5. Step 5: Solve for x
    x = 13,533,201.56/2,497.50
  6. Step 6: Final answer
    x = 5,418.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.