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Finding the Third Proportional to 16,058.25 and 36,318.38

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Solution

The third proportional to 16,058.25 and 36,318.38 is: 82,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.25 : 36,318.38 = 36,318.38 : x
  2. Step 2: Convert to fraction form
    16,058.25/36,318.38 = 36,318.38/x
  3. Step 3: Cross multiply
    16,058.25x = 36,318.38 × 36,318.38
  4. Step 4: Simplify right side
    16,058.25x = 1,319,024,362.64
  5. Step 5: Solve for x
    x = 1,319,024,362.64/16,058.25
  6. Step 6: Final answer
    x = 82,139.98

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.