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Finding the Third Proportional to 3,248.44 and 5,009.06

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Solution

The third proportional to 3,248.44 and 5,009.06 is: 7,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.44 : 5,009.06 = 5,009.06 : x
  2. Step 2: Convert to fraction form
    3,248.44/5,009.06 = 5,009.06/x
  3. Step 3: Cross multiply
    3,248.44x = 5,009.06 × 5,009.06
  4. Step 4: Simplify right side
    3,248.44x = 25,090,707.13
  5. Step 5: Solve for x
    x = 25,090,707.13/3,248.44
  6. Step 6: Final answer
    x = 7,723.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.