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Finding the Third Proportional to 951.12 and 2,075.31

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Solution

The third proportional to 951.12 and 2,075.31 is: 4,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.12 : 2,075.31 = 2,075.31 : x
  2. Step 2: Convert to fraction form
    951.12/2,075.31 = 2,075.31/x
  3. Step 3: Cross multiply
    951.12x = 2,075.31 × 2,075.31
  4. Step 4: Simplify right side
    951.12x = 4,306,905.76
  5. Step 5: Solve for x
    x = 4,306,905.76/951.12
  6. Step 6: Final answer
    x = 4,528.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.