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Finding the Third Proportional to 12,138 and 25,963.13

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Solution

The third proportional to 12,138 and 25,963.13 is: 55,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138 : 25,963.13 = 25,963.13 : x
  2. Step 2: Convert to fraction form
    12,138/25,963.13 = 25,963.13/x
  3. Step 3: Cross multiply
    12,138x = 25,963.13 × 25,963.13
  4. Step 4: Simplify right side
    12,138x = 674,083,859.77
  5. Step 5: Solve for x
    x = 674,083,859.77/12,138
  6. Step 6: Final answer
    x = 55,535.00

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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.