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Finding the Third Proportional to 1,316.81 and 3,040.78

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Solution

The third proportional to 1,316.81 and 3,040.78 is: 7,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.81 : 3,040.78 = 3,040.78 : x
  2. Step 2: Convert to fraction form
    1,316.81/3,040.78 = 3,040.78/x
  3. Step 3: Cross multiply
    1,316.81x = 3,040.78 × 3,040.78
  4. Step 4: Simplify right side
    1,316.81x = 9,246,350.61
  5. Step 5: Solve for x
    x = 9,246,350.61/1,316.81
  6. Step 6: Final answer
    x = 7,021.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.