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Finding the Third Proportional to 986.13 and 1,411.17

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Solution

The third proportional to 986.13 and 1,411.17 is: 2,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,411.17 = 1,411.17 : x
  2. Step 2: Convert to fraction form
    986.13/1,411.17 = 1,411.17/x
  3. Step 3: Cross multiply
    986.13x = 1,411.17 × 1,411.17
  4. Step 4: Simplify right side
    986.13x = 1,991,406.06
  5. Step 5: Solve for x
    x = 1,991,406.06/986.13
  6. Step 6: Final answer
    x = 2,019.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.