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Finding the Third Proportional to 4,288 and 7,712

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Solution

The third proportional to 4,288 and 7,712 is: 13,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288 : 7,712 = 7,712 : x
  2. Step 2: Convert to fraction form
    4,288/7,712 = 7,712/x
  3. Step 3: Cross multiply
    4,288x = 7,712 × 7,712
  4. Step 4: Simplify right side
    4,288x = 59,474,944
  5. Step 5: Solve for x
    x = 59,474,944/4,288
  6. Step 6: Final answer
    x = 13,870.09

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.