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Finding the Third Proportional to 866.50 and 1,857.13

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Solution

The third proportional to 866.50 and 1,857.13 is: 3,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.50 : 1,857.13 = 1,857.13 : x
  2. Step 2: Convert to fraction form
    866.50/1,857.13 = 1,857.13/x
  3. Step 3: Cross multiply
    866.50x = 1,857.13 × 1,857.13
  4. Step 4: Simplify right side
    866.50x = 3,448,913.27
  5. Step 5: Solve for x
    x = 3,448,913.27/866.50
  6. Step 6: Final answer
    x = 3,980.28

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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.