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Finding the Third Proportional to 38,564.44 and 58,257.56

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Solution

The third proportional to 38,564.44 and 58,257.56 is: 88,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.44 : 58,257.56 = 58,257.56 : x
  2. Step 2: Convert to fraction form
    38,564.44/58,257.56 = 58,257.56/x
  3. Step 3: Cross multiply
    38,564.44x = 58,257.56 × 58,257.56
  4. Step 4: Simplify right side
    38,564.44x = 3,393,943,588.44
  5. Step 5: Solve for x
    x = 3,393,943,588.44/38,564.44
  6. Step 6: Final answer
    x = 88,007.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.