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Finding the Third Proportional to 25,128 and 37,764

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Solution

The third proportional to 25,128 and 37,764 is: 56,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128 : 37,764 = 37,764 : x
  2. Step 2: Convert to fraction form
    25,128/37,764 = 37,764/x
  3. Step 3: Cross multiply
    25,128x = 37,764 × 37,764
  4. Step 4: Simplify right side
    25,128x = 1,426,119,696
  5. Step 5: Solve for x
    x = 1,426,119,696/25,128
  6. Step 6: Final answer
    x = 56,754.21

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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.