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Finding the Third Proportional to 37,917 and 55,903.50

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Solution

The third proportional to 37,917 and 55,903.50 is: 82,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,917 : 55,903.50 = 55,903.50 : x
  2. Step 2: Convert to fraction form
    37,917/55,903.50 = 55,903.50/x
  3. Step 3: Cross multiply
    37,917x = 55,903.50 × 55,903.50
  4. Step 4: Simplify right side
    37,917x = 3,125,201,312.25
  5. Step 5: Solve for x
    x = 3,125,201,312.25/37,917
  6. Step 6: Final answer
    x = 82,422.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.