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Finding the Third Proportional to 26,828.25 and 52,981.13

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Solution

The third proportional to 26,828.25 and 52,981.13 is: 104,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,828.25 : 52,981.13 = 52,981.13 : x
  2. Step 2: Convert to fraction form
    26,828.25/52,981.13 = 52,981.13/x
  3. Step 3: Cross multiply
    26,828.25x = 52,981.13 × 52,981.13
  4. Step 4: Simplify right side
    26,828.25x = 2,806,999,606.27
  5. Step 5: Solve for x
    x = 2,806,999,606.27/26,828.25
  6. Step 6: Final answer
    x = 104,628.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.