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Finding the Third Proportional to 23,576.06 and 32,427.84

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Solution

The third proportional to 23,576.06 and 32,427.84 is: 44,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.06 : 32,427.84 = 32,427.84 : x
  2. Step 2: Convert to fraction form
    23,576.06/32,427.84 = 32,427.84/x
  3. Step 3: Cross multiply
    23,576.06x = 32,427.84 × 32,427.84
  4. Step 4: Simplify right side
    23,576.06x = 1,051,565,050.27
  5. Step 5: Solve for x
    x = 1,051,565,050.27/23,576.06
  6. Step 6: Final answer
    x = 44,603.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.