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Finding the Third Proportional to 1,506.38 and 2,396.38

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Solution

The third proportional to 1,506.38 and 2,396.38 is: 3,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.38 : 2,396.38 = 2,396.38 : x
  2. Step 2: Convert to fraction form
    1,506.38/2,396.38 = 2,396.38/x
  3. Step 3: Cross multiply
    1,506.38x = 2,396.38 × 2,396.38
  4. Step 4: Simplify right side
    1,506.38x = 5,742,613.14
  5. Step 5: Solve for x
    x = 5,742,613.14/1,506.38
  6. Step 6: Final answer
    x = 3,812.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.