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Finding the Third Proportional to 37,232.16 and 79,795.13

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Solution

The third proportional to 37,232.16 and 79,795.13 is: 171,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,232.16 : 79,795.13 = 79,795.13 : x
  2. Step 2: Convert to fraction form
    37,232.16/79,795.13 = 79,795.13/x
  3. Step 3: Cross multiply
    37,232.16x = 79,795.13 × 79,795.13
  4. Step 4: Simplify right side
    37,232.16x = 6,367,261,973.77
  5. Step 5: Solve for x
    x = 6,367,261,973.77/37,232.16
  6. Step 6: Final answer
    x = 171,015.13

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.