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Finding the Third Proportional to 953.02 and 2,261.04

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Solution

The third proportional to 953.02 and 2,261.04 is: 5,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 2,261.04 = 2,261.04 : x
  2. Step 2: Convert to fraction form
    953.02/2,261.04 = 2,261.04/x
  3. Step 3: Cross multiply
    953.02x = 2,261.04 × 2,261.04
  4. Step 4: Simplify right side
    953.02x = 5,112,297.64
  5. Step 5: Solve for x
    x = 5,112,297.64/953.02
  6. Step 6: Final answer
    x = 5,364.34

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.