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Finding the Third Proportional to 23,400.56 and 37,697.06

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Solution

The third proportional to 23,400.56 and 37,697.06 is: 60,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400.56 : 37,697.06 = 37,697.06 : x
  2. Step 2: Convert to fraction form
    23,400.56/37,697.06 = 37,697.06/x
  3. Step 3: Cross multiply
    23,400.56x = 37,697.06 × 37,697.06
  4. Step 4: Simplify right side
    23,400.56x = 1,421,068,521.13
  5. Step 5: Solve for x
    x = 1,421,068,521.13/23,400.56
  6. Step 6: Final answer
    x = 60,727.96

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.