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Finding the Third Proportional to 962.16 and 1,529.58

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Solution

The third proportional to 962.16 and 1,529.58 is: 2,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.16 : 1,529.58 = 1,529.58 : x
  2. Step 2: Convert to fraction form
    962.16/1,529.58 = 1,529.58/x
  3. Step 3: Cross multiply
    962.16x = 1,529.58 × 1,529.58
  4. Step 4: Simplify right side
    962.16x = 2,339,609.24
  5. Step 5: Solve for x
    x = 2,339,609.24/962.16
  6. Step 6: Final answer
    x = 2,431.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.