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Finding the Third Proportional to 962.63 and 1,052.25

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Solution

The third proportional to 962.63 and 1,052.25 is: 1,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.63 : 1,052.25 = 1,052.25 : x
  2. Step 2: Convert to fraction form
    962.63/1,052.25 = 1,052.25/x
  3. Step 3: Cross multiply
    962.63x = 1,052.25 × 1,052.25
  4. Step 4: Simplify right side
    962.63x = 1,107,230.06
  5. Step 5: Solve for x
    x = 1,107,230.06/962.63
  6. Step 6: Final answer
    x = 1,150.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.