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Finding the Third Proportional to 452 and 972.25

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Solution

The third proportional to 452 and 972.25 is: 2,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 972.25 = 972.25 : x
  2. Step 2: Convert to fraction form
    452/972.25 = 972.25/x
  3. Step 3: Cross multiply
    452x = 972.25 × 972.25
  4. Step 4: Simplify right side
    452x = 945,270.06
  5. Step 5: Solve for x
    x = 945,270.06/452
  6. Step 6: Final answer
    x = 2,091.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.