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Finding the Third Proportional to 427.15 and 931.18

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Solution

The third proportional to 427.15 and 931.18 is: 2,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.15 : 931.18 = 931.18 : x
  2. Step 2: Convert to fraction form
    427.15/931.18 = 931.18/x
  3. Step 3: Cross multiply
    427.15x = 931.18 × 931.18
  4. Step 4: Simplify right side
    427.15x = 867,102.89
  5. Step 5: Solve for x
    x = 867,102.89/427.15
  6. Step 6: Final answer
    x = 2,029.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.