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Finding the Third Proportional to 946.78 and 2,073.94

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Solution

The third proportional to 946.78 and 2,073.94 is: 4,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.78 : 2,073.94 = 2,073.94 : x
  2. Step 2: Convert to fraction form
    946.78/2,073.94 = 2,073.94/x
  3. Step 3: Cross multiply
    946.78x = 2,073.94 × 2,073.94
  4. Step 4: Simplify right side
    946.78x = 4,301,216.75
  5. Step 5: Solve for x
    x = 4,301,216.75/946.78
  6. Step 6: Final answer
    x = 4,542.99

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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.