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Finding the Third Proportional to 25,932 and 37,764

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Solution

The third proportional to 25,932 and 37,764 is: 54,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,932 : 37,764 = 37,764 : x
  2. Step 2: Convert to fraction form
    25,932/37,764 = 37,764/x
  3. Step 3: Cross multiply
    25,932x = 37,764 × 37,764
  4. Step 4: Simplify right side
    25,932x = 1,426,119,696
  5. Step 5: Solve for x
    x = 1,426,119,696/25,932
  6. Step 6: Final answer
    x = 54,994.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.