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Finding the Third Proportional to 21,406.90 and 32,615.27

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Solution

The third proportional to 21,406.90 and 32,615.27 is: 49,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.90 : 32,615.27 = 32,615.27 : x
  2. Step 2: Convert to fraction form
    21,406.90/32,615.27 = 32,615.27/x
  3. Step 3: Cross multiply
    21,406.90x = 32,615.27 × 32,615.27
  4. Step 4: Simplify right side
    21,406.90x = 1,063,756,156.96
  5. Step 5: Solve for x
    x = 1,063,756,156.96/21,406.90
  6. Step 6: Final answer
    x = 49,692.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.