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Finding the Third Proportional to 20,258.86 and 32,053.22

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Solution

The third proportional to 20,258.86 and 32,053.22 is: 50,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258.86 : 32,053.22 = 32,053.22 : x
  2. Step 2: Convert to fraction form
    20,258.86/32,053.22 = 32,053.22/x
  3. Step 3: Cross multiply
    20,258.86x = 32,053.22 × 32,053.22
  4. Step 4: Simplify right side
    20,258.86x = 1,027,408,832.24
  5. Step 5: Solve for x
    x = 1,027,408,832.24/20,258.86
  6. Step 6: Final answer
    x = 50,714.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.