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Finding the Third Proportional to 13,959.21 and 32,565.80

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Solution

The third proportional to 13,959.21 and 32,565.80 is: 75,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.21 : 32,565.80 = 32,565.80 : x
  2. Step 2: Convert to fraction form
    13,959.21/32,565.80 = 32,565.80/x
  3. Step 3: Cross multiply
    13,959.21x = 32,565.80 × 32,565.80
  4. Step 4: Simplify right side
    13,959.21x = 1,060,531,126.10
  5. Step 5: Solve for x
    x = 1,060,531,126.10/13,959.21
  6. Step 6: Final answer
    x = 75,973.57

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.