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Finding the Third Proportional to 12,963 and 27,768

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Solution

The third proportional to 12,963 and 27,768 is: 59,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963 : 27,768 = 27,768 : x
  2. Step 2: Convert to fraction form
    12,963/27,768 = 27,768/x
  3. Step 3: Cross multiply
    12,963x = 27,768 × 27,768
  4. Step 4: Simplify right side
    12,963x = 771,061,824
  5. Step 5: Solve for x
    x = 771,061,824/12,963
  6. Step 6: Final answer
    x = 59,481.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.