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Finding the Third Proportional to 986.63 and 2,134.13

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Solution

The third proportional to 986.63 and 2,134.13 is: 4,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.63 : 2,134.13 = 2,134.13 : x
  2. Step 2: Convert to fraction form
    986.63/2,134.13 = 2,134.13/x
  3. Step 3: Cross multiply
    986.63x = 2,134.13 × 2,134.13
  4. Step 4: Simplify right side
    986.63x = 4,554,489.52
  5. Step 5: Solve for x
    x = 4,554,489.52/986.63
  6. Step 6: Final answer
    x = 4,616.23

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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.