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Finding the Third Proportional to 12,954.94 and 28,846.13

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Solution

The third proportional to 12,954.94 and 28,846.13 is: 64,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.94 : 28,846.13 = 28,846.13 : x
  2. Step 2: Convert to fraction form
    12,954.94/28,846.13 = 28,846.13/x
  3. Step 3: Cross multiply
    12,954.94x = 28,846.13 × 28,846.13
  4. Step 4: Simplify right side
    12,954.94x = 832,098,927.52
  5. Step 5: Solve for x
    x = 832,098,927.52/12,954.94
  6. Step 6: Final answer
    x = 64,230.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.