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Finding the Third Proportional to 36,410.13 and 56,507.47

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Solution

The third proportional to 36,410.13 and 56,507.47 is: 87,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,410.13 : 56,507.47 = 56,507.47 : x
  2. Step 2: Convert to fraction form
    36,410.13/56,507.47 = 56,507.47/x
  3. Step 3: Cross multiply
    36,410.13x = 56,507.47 × 56,507.47
  4. Step 4: Simplify right side
    36,410.13x = 3,193,093,803.80
  5. Step 5: Solve for x
    x = 3,193,093,803.80/36,410.13
  6. Step 6: Final answer
    x = 87,697.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.