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Finding the Third Proportional to 27,984 and 59,712

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Solution

The third proportional to 27,984 and 59,712 is: 127,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984 : 59,712 = 59,712 : x
  2. Step 2: Convert to fraction form
    27,984/59,712 = 59,712/x
  3. Step 3: Cross multiply
    27,984x = 59,712 × 59,712
  4. Step 4: Simplify right side
    27,984x = 3,565,522,944
  5. Step 5: Solve for x
    x = 3,565,522,944/27,984
  6. Step 6: Final answer
    x = 127,412.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.