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Finding the Third Proportional to 962.75 and 1,530.25

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Solution

The third proportional to 962.75 and 1,530.25 is: 2,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.75 : 1,530.25 = 1,530.25 : x
  2. Step 2: Convert to fraction form
    962.75/1,530.25 = 1,530.25/x
  3. Step 3: Cross multiply
    962.75x = 1,530.25 × 1,530.25
  4. Step 4: Simplify right side
    962.75x = 2,341,665.06
  5. Step 5: Solve for x
    x = 2,341,665.06/962.75
  6. Step 6: Final answer
    x = 2,432.27

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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.