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Finding the Third Proportional to 26,588.25 and 58,006.25

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Solution

The third proportional to 26,588.25 and 58,006.25 is: 126,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.25 : 58,006.25 = 58,006.25 : x
  2. Step 2: Convert to fraction form
    26,588.25/58,006.25 = 58,006.25/x
  3. Step 3: Cross multiply
    26,588.25x = 58,006.25 × 58,006.25
  4. Step 4: Simplify right side
    26,588.25x = 3,364,725,039.06
  5. Step 5: Solve for x
    x = 3,364,725,039.06/26,588.25
  6. Step 6: Final answer
    x = 126,549.32

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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.