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Finding the Third Proportional to 37,260 and 55,764

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Solution

The third proportional to 37,260 and 55,764 is: 83,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,260 : 55,764 = 55,764 : x
  2. Step 2: Convert to fraction form
    37,260/55,764 = 55,764/x
  3. Step 3: Cross multiply
    37,260x = 55,764 × 55,764
  4. Step 4: Simplify right side
    37,260x = 3,109,623,696
  5. Step 5: Solve for x
    x = 3,109,623,696/37,260
  6. Step 6: Final answer
    x = 83,457.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.