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Finding the Third Proportional to 969.47 and 2,095.88

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Solution

The third proportional to 969.47 and 2,095.88 is: 4,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.47 : 2,095.88 = 2,095.88 : x
  2. Step 2: Convert to fraction form
    969.47/2,095.88 = 2,095.88/x
  3. Step 3: Cross multiply
    969.47x = 2,095.88 × 2,095.88
  4. Step 4: Simplify right side
    969.47x = 4,392,692.02
  5. Step 5: Solve for x
    x = 4,392,692.02/969.47
  6. Step 6: Final answer
    x = 4,531.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.