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Finding the Third Proportional to 21,112.50 and 32,947.50

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Solution

The third proportional to 21,112.50 and 32,947.50 is: 51,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112.50 : 32,947.50 = 32,947.50 : x
  2. Step 2: Convert to fraction form
    21,112.50/32,947.50 = 32,947.50/x
  3. Step 3: Cross multiply
    21,112.50x = 32,947.50 × 32,947.50
  4. Step 4: Simplify right side
    21,112.50x = 1,085,537,756.25
  5. Step 5: Solve for x
    x = 1,085,537,756.25/21,112.50
  6. Step 6: Final answer
    x = 51,416.83

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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.