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Finding the Third Proportional to 21,291.75 and 32,947.88

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Solution

The third proportional to 21,291.75 and 32,947.88 is: 50,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.75 : 32,947.88 = 32,947.88 : x
  2. Step 2: Convert to fraction form
    21,291.75/32,947.88 = 32,947.88/x
  3. Step 3: Cross multiply
    21,291.75x = 32,947.88 × 32,947.88
  4. Step 4: Simplify right side
    21,291.75x = 1,085,562,467.02
  5. Step 5: Solve for x
    x = 1,085,562,467.02/21,291.75
  6. Step 6: Final answer
    x = 50,985.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.