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Finding the Third Proportional to 3,386.81 and 5,065.03

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Solution

The third proportional to 3,386.81 and 5,065.03 is: 7,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.81 : 5,065.03 = 5,065.03 : x
  2. Step 2: Convert to fraction form
    3,386.81/5,065.03 = 5,065.03/x
  3. Step 3: Cross multiply
    3,386.81x = 5,065.03 × 5,065.03
  4. Step 4: Simplify right side
    3,386.81x = 25,654,541.56
  5. Step 5: Solve for x
    x = 25,654,541.56/3,386.81
  6. Step 6: Final answer
    x = 7,574.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.