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Finding the Third Proportional to 915.75 and 1,014.75

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Solution

The third proportional to 915.75 and 1,014.75 is: 1,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.75 : 1,014.75 = 1,014.75 : x
  2. Step 2: Convert to fraction form
    915.75/1,014.75 = 1,014.75/x
  3. Step 3: Cross multiply
    915.75x = 1,014.75 × 1,014.75
  4. Step 4: Simplify right side
    915.75x = 1,029,717.56
  5. Step 5: Solve for x
    x = 1,029,717.56/915.75
  6. Step 6: Final answer
    x = 1,124.45

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.