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Finding the Third Proportional to 27,774 and 59,984

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Solution

The third proportional to 27,774 and 59,984 is: 129,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 59,984 = 59,984 : x
  2. Step 2: Convert to fraction form
    27,774/59,984 = 59,984/x
  3. Step 3: Cross multiply
    27,774x = 59,984 × 59,984
  4. Step 4: Simplify right side
    27,774x = 3,598,080,256
  5. Step 5: Solve for x
    x = 3,598,080,256/27,774
  6. Step 6: Final answer
    x = 129,548.51

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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.