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Finding the Third Proportional to 21,427.66 and 32,685.40

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Solution

The third proportional to 21,427.66 and 32,685.40 is: 49,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427.66 : 32,685.40 = 32,685.40 : x
  2. Step 2: Convert to fraction form
    21,427.66/32,685.40 = 32,685.40/x
  3. Step 3: Cross multiply
    21,427.66x = 32,685.40 × 32,685.40
  4. Step 4: Simplify right side
    21,427.66x = 1,068,335,271.02
  5. Step 5: Solve for x
    x = 1,068,335,271.02/21,427.66
  6. Step 6: Final answer
    x = 49,857.76

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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.