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Finding the Third Proportional to 26,497.13 and 56,639.25

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Solution

The third proportional to 26,497.13 and 56,639.25 is: 121,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.13 : 56,639.25 = 56,639.25 : x
  2. Step 2: Convert to fraction form
    26,497.13/56,639.25 = 56,639.25/x
  3. Step 3: Cross multiply
    26,497.13x = 56,639.25 × 56,639.25
  4. Step 4: Simplify right side
    26,497.13x = 3,208,004,640.56
  5. Step 5: Solve for x
    x = 3,208,004,640.56/26,497.13
  6. Step 6: Final answer
    x = 121,069.91

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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.