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Finding the Third Proportional to 10,978 and 23,712

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Solution

The third proportional to 10,978 and 23,712 is: 51,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978 : 23,712 = 23,712 : x
  2. Step 2: Convert to fraction form
    10,978/23,712 = 23,712/x
  3. Step 3: Cross multiply
    10,978x = 23,712 × 23,712
  4. Step 4: Simplify right side
    10,978x = 562,258,944
  5. Step 5: Solve for x
    x = 562,258,944/10,978
  6. Step 6: Final answer
    x = 51,216.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.