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Finding the Third Proportional to 2,328.75 and 2,649.38

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Solution

The third proportional to 2,328.75 and 2,649.38 is: 3,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.75 : 2,649.38 = 2,649.38 : x
  2. Step 2: Convert to fraction form
    2,328.75/2,649.38 = 2,649.38/x
  3. Step 3: Cross multiply
    2,328.75x = 2,649.38 × 2,649.38
  4. Step 4: Simplify right side
    2,328.75x = 7,019,187.89
  5. Step 5: Solve for x
    x = 7,019,187.89/2,328.75
  6. Step 6: Final answer
    x = 3,014.14

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.