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Finding the Third Proportional to 37,216 and 55,904

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Solution

The third proportional to 37,216 and 55,904 is: 83,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,216 : 55,904 = 55,904 : x
  2. Step 2: Convert to fraction form
    37,216/55,904 = 55,904/x
  3. Step 3: Cross multiply
    37,216x = 55,904 × 55,904
  4. Step 4: Simplify right side
    37,216x = 3,125,257,216
  5. Step 5: Solve for x
    x = 3,125,257,216/37,216
  6. Step 6: Final answer
    x = 83,976.17

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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.