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Finding the Third Proportional to 1,506.09 and 3,243.16

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Solution

The third proportional to 1,506.09 and 3,243.16 is: 6,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.09 : 3,243.16 = 3,243.16 : x
  2. Step 2: Convert to fraction form
    1,506.09/3,243.16 = 3,243.16/x
  3. Step 3: Cross multiply
    1,506.09x = 3,243.16 × 3,243.16
  4. Step 4: Simplify right side
    1,506.09x = 10,518,113.14
  5. Step 5: Solve for x
    x = 10,518,113.14/1,506.09
  6. Step 6: Final answer
    x = 6,983.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.