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Finding the Third Proportional to 866.53 and 1,901.53

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Solution

The third proportional to 866.53 and 1,901.53 is: 4,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.53 : 1,901.53 = 1,901.53 : x
  2. Step 2: Convert to fraction form
    866.53/1,901.53 = 1,901.53/x
  3. Step 3: Cross multiply
    866.53x = 1,901.53 × 1,901.53
  4. Step 4: Simplify right side
    866.53x = 3,615,821.09
  5. Step 5: Solve for x
    x = 3,615,821.09/866.53
  6. Step 6: Final answer
    x = 4,172.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.