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Finding the Third Proportional to 877.78 and 1,896.47

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Solution

The third proportional to 877.78 and 1,896.47 is: 4,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.78 : 1,896.47 = 1,896.47 : x
  2. Step 2: Convert to fraction form
    877.78/1,896.47 = 1,896.47/x
  3. Step 3: Cross multiply
    877.78x = 1,896.47 × 1,896.47
  4. Step 4: Simplify right side
    877.78x = 3,596,593.72
  5. Step 5: Solve for x
    x = 3,596,593.72/877.78
  6. Step 6: Final answer
    x = 4,097.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.