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Finding the Third Proportional to 1,506.41 and 3,260.57

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Solution

The third proportional to 1,506.41 and 3,260.57 is: 7,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.41 : 3,260.57 = 3,260.57 : x
  2. Step 2: Convert to fraction form
    1,506.41/3,260.57 = 3,260.57/x
  3. Step 3: Cross multiply
    1,506.41x = 3,260.57 × 3,260.57
  4. Step 4: Simplify right side
    1,506.41x = 10,631,293.29
  5. Step 5: Solve for x
    x = 10,631,293.29/1,506.41
  6. Step 6: Final answer
    x = 7,057.37

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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.