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Finding the Third Proportional to 37,729.13 and 51,057.84

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Solution

The third proportional to 37,729.13 and 51,057.84 is: 69,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729.13 : 51,057.84 = 51,057.84 : x
  2. Step 2: Convert to fraction form
    37,729.13/51,057.84 = 51,057.84/x
  3. Step 3: Cross multiply
    37,729.13x = 51,057.84 × 51,057.84
  4. Step 4: Simplify right side
    37,729.13x = 2,606,903,408.40
  5. Step 5: Solve for x
    x = 2,606,903,408.40/37,729.13
  6. Step 6: Final answer
    x = 69,095.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.