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Finding the Third Proportional to 35,869.50 and 55,917

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Solution

The third proportional to 35,869.50 and 55,917 is: 87,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,869.50 : 55,917 = 55,917 : x
  2. Step 2: Convert to fraction form
    35,869.50/55,917 = 55,917/x
  3. Step 3: Cross multiply
    35,869.50x = 55,917 × 55,917
  4. Step 4: Simplify right side
    35,869.50x = 3,126,710,889
  5. Step 5: Solve for x
    x = 3,126,710,889/35,869.50
  6. Step 6: Final answer
    x = 87,169.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.