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Finding the Third Proportional to 36,907 and 58,754

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Solution

The third proportional to 36,907 and 58,754 is: 93,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907 : 58,754 = 58,754 : x
  2. Step 2: Convert to fraction form
    36,907/58,754 = 58,754/x
  3. Step 3: Cross multiply
    36,907x = 58,754 × 58,754
  4. Step 4: Simplify right side
    36,907x = 3,452,032,516
  5. Step 5: Solve for x
    x = 3,452,032,516/36,907
  6. Step 6: Final answer
    x = 93,533.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.