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Finding the Third Proportional to 2,017.38 and 4,369.75

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Solution

The third proportional to 2,017.38 and 4,369.75 is: 9,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.38 : 4,369.75 = 4,369.75 : x
  2. Step 2: Convert to fraction form
    2,017.38/4,369.75 = 4,369.75/x
  3. Step 3: Cross multiply
    2,017.38x = 4,369.75 × 4,369.75
  4. Step 4: Simplify right side
    2,017.38x = 19,094,715.06
  5. Step 5: Solve for x
    x = 19,094,715.06/2,017.38
  6. Step 6: Final answer
    x = 9,465.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.