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Finding the Third Proportional to 26,417.75 and 57,733.75

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Solution

The third proportional to 26,417.75 and 57,733.75 is: 126,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,417.75 : 57,733.75 = 57,733.75 : x
  2. Step 2: Convert to fraction form
    26,417.75/57,733.75 = 57,733.75/x
  3. Step 3: Cross multiply
    26,417.75x = 57,733.75 × 57,733.75
  4. Step 4: Simplify right side
    26,417.75x = 3,333,185,889.06
  5. Step 5: Solve for x
    x = 3,333,185,889.06/26,417.75
  6. Step 6: Final answer
    x = 126,172.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.