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Finding the Third Proportional to 12,478.97 and 27,260.81

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Solution

The third proportional to 12,478.97 and 27,260.81 is: 59,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.97 : 27,260.81 = 27,260.81 : x
  2. Step 2: Convert to fraction form
    12,478.97/27,260.81 = 27,260.81/x
  3. Step 3: Cross multiply
    12,478.97x = 27,260.81 × 27,260.81
  4. Step 4: Simplify right side
    12,478.97x = 743,151,898.16
  5. Step 5: Solve for x
    x = 743,151,898.16/12,478.97
  6. Step 6: Final answer
    x = 59,552.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.