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Finding the Third Proportional to 1,071.56 and 2,271.80

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Solution

The third proportional to 1,071.56 and 2,271.80 is: 4,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.56 : 2,271.80 = 2,271.80 : x
  2. Step 2: Convert to fraction form
    1,071.56/2,271.80 = 2,271.80/x
  3. Step 3: Cross multiply
    1,071.56x = 2,271.80 × 2,271.80
  4. Step 4: Simplify right side
    1,071.56x = 5,161,061.04
  5. Step 5: Solve for x
    x = 5,161,061.04/1,071.56
  6. Step 6: Final answer
    x = 4,816.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.