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Finding the Third Proportional to 1,560.09 and 3,370.22

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Solution

The third proportional to 1,560.09 and 3,370.22 is: 7,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.09 : 3,370.22 = 3,370.22 : x
  2. Step 2: Convert to fraction form
    1,560.09/3,370.22 = 3,370.22/x
  3. Step 3: Cross multiply
    1,560.09x = 3,370.22 × 3,370.22
  4. Step 4: Simplify right side
    1,560.09x = 11,358,374.42
  5. Step 5: Solve for x
    x = 11,358,374.42/1,560.09
  6. Step 6: Final answer
    x = 7,280.57

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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.