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Finding the Third Proportional to 946.31 and 1,378.13

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Solution

The third proportional to 946.31 and 1,378.13 is: 2,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.31 : 1,378.13 = 1,378.13 : x
  2. Step 2: Convert to fraction form
    946.31/1,378.13 = 1,378.13/x
  3. Step 3: Cross multiply
    946.31x = 1,378.13 × 1,378.13
  4. Step 4: Simplify right side
    946.31x = 1,899,228.52
  5. Step 5: Solve for x
    x = 1,899,228.52/946.31
  6. Step 6: Final answer
    x = 2,006.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.