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Finding the Third Proportional to 24,050.25 and 32,099.63

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Solution

The third proportional to 24,050.25 and 32,099.63 is: 42,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050.25 : 32,099.63 = 32,099.63 : x
  2. Step 2: Convert to fraction form
    24,050.25/32,099.63 = 32,099.63/x
  3. Step 3: Cross multiply
    24,050.25x = 32,099.63 × 32,099.63
  4. Step 4: Simplify right side
    24,050.25x = 1,030,385,925.14
  5. Step 5: Solve for x
    x = 1,030,385,925.14/24,050.25
  6. Step 6: Final answer
    x = 42,843.04

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.