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Finding the Third Proportional to 36,357.19 and 81,597.38

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Solution

The third proportional to 36,357.19 and 81,597.38 is: 183,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357.19 : 81,597.38 = 81,597.38 : x
  2. Step 2: Convert to fraction form
    36,357.19/81,597.38 = 81,597.38/x
  3. Step 3: Cross multiply
    36,357.19x = 81,597.38 × 81,597.38
  4. Step 4: Simplify right side
    36,357.19x = 6,658,131,606.89
  5. Step 5: Solve for x
    x = 6,658,131,606.89/36,357.19
  6. Step 6: Final answer
    x = 183,131.10

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.