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Finding the Third Proportional to 15,701.50 and 33,221

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Solution

The third proportional to 15,701.50 and 33,221 is: 70,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.50 : 33,221 = 33,221 : x
  2. Step 2: Convert to fraction form
    15,701.50/33,221 = 33,221/x
  3. Step 3: Cross multiply
    15,701.50x = 33,221 × 33,221
  4. Step 4: Simplify right side
    15,701.50x = 1,103,634,841
  5. Step 5: Solve for x
    x = 1,103,634,841/15,701.50
  6. Step 6: Final answer
    x = 70,288.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.