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Finding the Third Proportional to 3,669.75 and 5,258.81

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Solution

The third proportional to 3,669.75 and 5,258.81 is: 7,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.75 : 5,258.81 = 5,258.81 : x
  2. Step 2: Convert to fraction form
    3,669.75/5,258.81 = 5,258.81/x
  3. Step 3: Cross multiply
    3,669.75x = 5,258.81 × 5,258.81
  4. Step 4: Simplify right side
    3,669.75x = 27,655,108.91
  5. Step 5: Solve for x
    x = 27,655,108.91/3,669.75
  6. Step 6: Final answer
    x = 7,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.