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Finding the Third Proportional to 915.89 and 1,786.01

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Solution

The third proportional to 915.89 and 1,786.01 is: 3,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.89 : 1,786.01 = 1,786.01 : x
  2. Step 2: Convert to fraction form
    915.89/1,786.01 = 1,786.01/x
  3. Step 3: Cross multiply
    915.89x = 1,786.01 × 1,786.01
  4. Step 4: Simplify right side
    915.89x = 3,189,823.91
  5. Step 5: Solve for x
    x = 3,189,823.91/915.89
  6. Step 6: Final answer
    x = 3,482.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.