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Finding the Third Proportional to 515.72 and 1,075.31

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Solution

The third proportional to 515.72 and 1,075.31 is: 2,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 1,075.31 = 1,075.31 : x
  2. Step 2: Convert to fraction form
    515.72/1,075.31 = 1,075.31/x
  3. Step 3: Cross multiply
    515.72x = 1,075.31 × 1,075.31
  4. Step 4: Simplify right side
    515.72x = 1,156,296.97
  5. Step 5: Solve for x
    x = 1,156,296.97/515.72
  6. Step 6: Final answer
    x = 2,242.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.