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Finding the Third Proportional to 954.75 and 2,219.25

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Solution

The third proportional to 954.75 and 2,219.25 is: 5,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 2,219.25 = 2,219.25 : x
  2. Step 2: Convert to fraction form
    954.75/2,219.25 = 2,219.25/x
  3. Step 3: Cross multiply
    954.75x = 2,219.25 × 2,219.25
  4. Step 4: Simplify right side
    954.75x = 4,925,070.56
  5. Step 5: Solve for x
    x = 4,925,070.56/954.75
  6. Step 6: Final answer
    x = 5,158.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.