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Finding the Third Proportional to 962.30 and 1,254.45

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Solution

The third proportional to 962.30 and 1,254.45 is: 1,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.30 : 1,254.45 = 1,254.45 : x
  2. Step 2: Convert to fraction form
    962.30/1,254.45 = 1,254.45/x
  3. Step 3: Cross multiply
    962.30x = 1,254.45 × 1,254.45
  4. Step 4: Simplify right side
    962.30x = 1,573,633.04
  5. Step 5: Solve for x
    x = 1,573,633.04/962.30
  6. Step 6: Final answer
    x = 1,635.29

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.