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Finding the Third Proportional to 24,750.19 and 32,819.06

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Solution

The third proportional to 24,750.19 and 32,819.06 is: 43,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750.19 : 32,819.06 = 32,819.06 : x
  2. Step 2: Convert to fraction form
    24,750.19/32,819.06 = 32,819.06/x
  3. Step 3: Cross multiply
    24,750.19x = 32,819.06 × 32,819.06
  4. Step 4: Simplify right side
    24,750.19x = 1,077,090,863.38
  5. Step 5: Solve for x
    x = 1,077,090,863.38/24,750.19
  6. Step 6: Final answer
    x = 43,518.49

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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.