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Finding the Third Proportional to 988.13 and 2,162.25

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Solution

The third proportional to 988.13 and 2,162.25 is: 4,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.13 : 2,162.25 = 2,162.25 : x
  2. Step 2: Convert to fraction form
    988.13/2,162.25 = 2,162.25/x
  3. Step 3: Cross multiply
    988.13x = 2,162.25 × 2,162.25
  4. Step 4: Simplify right side
    988.13x = 4,675,325.06
  5. Step 5: Solve for x
    x = 4,675,325.06/988.13
  6. Step 6: Final answer
    x = 4,731.51

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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.