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Finding the Third Proportional to 12,963 and 27,770

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Solution

The third proportional to 12,963 and 27,770 is: 59,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963 : 27,770 = 27,770 : x
  2. Step 2: Convert to fraction form
    12,963/27,770 = 27,770/x
  3. Step 3: Cross multiply
    12,963x = 27,770 × 27,770
  4. Step 4: Simplify right side
    12,963x = 771,172,900
  5. Step 5: Solve for x
    x = 771,172,900/12,963
  6. Step 6: Final answer
    x = 59,490.31

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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.