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Finding the Third Proportional to 915.88 and 2,087.19

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Solution

The third proportional to 915.88 and 2,087.19 is: 4,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.88 : 2,087.19 = 2,087.19 : x
  2. Step 2: Convert to fraction form
    915.88/2,087.19 = 2,087.19/x
  3. Step 3: Cross multiply
    915.88x = 2,087.19 × 2,087.19
  4. Step 4: Simplify right side
    915.88x = 4,356,351.66
  5. Step 5: Solve for x
    x = 4,356,351.66/915.88
  6. Step 6: Final answer
    x = 4,756.49

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.