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Finding the Third Proportional to 1,438.59 and 3,082.03

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Solution

The third proportional to 1,438.59 and 3,082.03 is: 6,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.59 : 3,082.03 = 3,082.03 : x
  2. Step 2: Convert to fraction form
    1,438.59/3,082.03 = 3,082.03/x
  3. Step 3: Cross multiply
    1,438.59x = 3,082.03 × 3,082.03
  4. Step 4: Simplify right side
    1,438.59x = 9,498,916.63
  5. Step 5: Solve for x
    x = 9,498,916.63/1,438.59
  6. Step 6: Final answer
    x = 6,602.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.