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Finding the Third Proportional to 21,611.81 and 32,104.13

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Solution

The third proportional to 21,611.81 and 32,104.13 is: 47,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.81 : 32,104.13 = 32,104.13 : x
  2. Step 2: Convert to fraction form
    21,611.81/32,104.13 = 32,104.13/x
  3. Step 3: Cross multiply
    21,611.81x = 32,104.13 × 32,104.13
  4. Step 4: Simplify right side
    21,611.81x = 1,030,674,842.02
  5. Step 5: Solve for x
    x = 1,030,674,842.02/21,611.81
  6. Step 6: Final answer
    x = 47,690.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.