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Finding the Third Proportional to 33,913 and 51,877.50

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Solution

The third proportional to 33,913 and 51,877.50 is: 79,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913 : 51,877.50 = 51,877.50 : x
  2. Step 2: Convert to fraction form
    33,913/51,877.50 = 51,877.50/x
  3. Step 3: Cross multiply
    33,913x = 51,877.50 × 51,877.50
  4. Step 4: Simplify right side
    33,913x = 2,691,275,006.25
  5. Step 5: Solve for x
    x = 2,691,275,006.25/33,913
  6. Step 6: Final answer
    x = 79,358.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.