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Finding the Third Proportional to 37,748.53 and 52,905.66

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Solution

The third proportional to 37,748.53 and 52,905.66 is: 74,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,748.53 : 52,905.66 = 52,905.66 : x
  2. Step 2: Convert to fraction form
    37,748.53/52,905.66 = 52,905.66/x
  3. Step 3: Cross multiply
    37,748.53x = 52,905.66 × 52,905.66
  4. Step 4: Simplify right side
    37,748.53x = 2,799,008,463.24
  5. Step 5: Solve for x
    x = 2,799,008,463.24/37,748.53
  6. Step 6: Final answer
    x = 74,148.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.