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Finding the Third Proportional to 915.47 and 2,006.16

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Solution

The third proportional to 915.47 and 2,006.16 is: 4,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.47 : 2,006.16 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    915.47/2,006.16 = 2,006.16/x
  3. Step 3: Cross multiply
    915.47x = 2,006.16 × 2,006.16
  4. Step 4: Simplify right side
    915.47x = 4,024,662.90
  5. Step 5: Solve for x
    x = 4,024,662.90/915.47
  6. Step 6: Final answer
    x = 4,396.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.