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Finding the Third Proportional to 931.43 and 2,014.10

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Solution

The third proportional to 931.43 and 2,014.10 is: 4,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.43 : 2,014.10 = 2,014.10 : x
  2. Step 2: Convert to fraction form
    931.43/2,014.10 = 2,014.10/x
  3. Step 3: Cross multiply
    931.43x = 2,014.10 × 2,014.10
  4. Step 4: Simplify right side
    931.43x = 4,056,605.10
  5. Step 5: Solve for x
    x = 4,056,605.10/931.43
  6. Step 6: Final answer
    x = 4,355.25

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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.