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Finding the Third Proportional to 20,848.64 and 45,854.86

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Solution

The third proportional to 20,848.64 and 45,854.86 is: 100,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,848.64 : 45,854.86 = 45,854.86 : x
  2. Step 2: Convert to fraction form
    20,848.64/45,854.86 = 45,854.86/x
  3. Step 3: Cross multiply
    20,848.64x = 45,854.86 × 45,854.86
  4. Step 4: Simplify right side
    20,848.64x = 2,102,668,128.30
  5. Step 5: Solve for x
    x = 2,102,668,128.30/20,848.64
  6. Step 6: Final answer
    x = 100,853.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.