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Finding the Third Proportional to 4,288 and 7,040

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Solution

The third proportional to 4,288 and 7,040 is: 11,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288 : 7,040 = 7,040 : x
  2. Step 2: Convert to fraction form
    4,288/7,040 = 7,040/x
  3. Step 3: Cross multiply
    4,288x = 7,040 × 7,040
  4. Step 4: Simplify right side
    4,288x = 49,561,600
  5. Step 5: Solve for x
    x = 49,561,600/4,288
  6. Step 6: Final answer
    x = 11,558.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.