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Finding the Third Proportional to 2,175.19 and 2,954.81

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Solution

The third proportional to 2,175.19 and 2,954.81 is: 4,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.19 : 2,954.81 = 2,954.81 : x
  2. Step 2: Convert to fraction form
    2,175.19/2,954.81 = 2,954.81/x
  3. Step 3: Cross multiply
    2,175.19x = 2,954.81 × 2,954.81
  4. Step 4: Simplify right side
    2,175.19x = 8,730,916.91
  5. Step 5: Solve for x
    x = 8,730,916.91/2,175.19
  6. Step 6: Final answer
    x = 4,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.