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Finding the Third Proportional to 986.81 and 1,471.13

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Solution

The third proportional to 986.81 and 1,471.13 is: 2,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.81 : 1,471.13 = 1,471.13 : x
  2. Step 2: Convert to fraction form
    986.81/1,471.13 = 1,471.13/x
  3. Step 3: Cross multiply
    986.81x = 1,471.13 × 1,471.13
  4. Step 4: Simplify right side
    986.81x = 2,164,208.77
  5. Step 5: Solve for x
    x = 2,164,208.77/986.81
  6. Step 6: Final answer
    x = 2,193.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.