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Finding the Third Proportional to 931.18 and 2,016.14

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Solution

The third proportional to 931.18 and 2,016.14 is: 4,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.18 : 2,016.14 = 2,016.14 : x
  2. Step 2: Convert to fraction form
    931.18/2,016.14 = 2,016.14/x
  3. Step 3: Cross multiply
    931.18x = 2,016.14 × 2,016.14
  4. Step 4: Simplify right side
    931.18x = 4,064,823.02
  5. Step 5: Solve for x
    x = 4,064,823.02/931.18
  6. Step 6: Final answer
    x = 4,365.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.