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Finding the Third Proportional to 36,952.40 and 81,058.11

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Solution

The third proportional to 36,952.40 and 81,058.11 is: 177,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952.40 : 81,058.11 = 81,058.11 : x
  2. Step 2: Convert to fraction form
    36,952.40/81,058.11 = 81,058.11/x
  3. Step 3: Cross multiply
    36,952.40x = 81,058.11 × 81,058.11
  4. Step 4: Simplify right side
    36,952.40x = 6,570,417,728.72
  5. Step 5: Solve for x
    x = 6,570,417,728.72/36,952.40
  6. Step 6: Final answer
    x = 177,807.60

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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.