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Finding the Third Proportional to 20,881.13 and 46,421.44

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Solution

The third proportional to 20,881.13 and 46,421.44 is: 103,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.13 : 46,421.44 = 46,421.44 : x
  2. Step 2: Convert to fraction form
    20,881.13/46,421.44 = 46,421.44/x
  3. Step 3: Cross multiply
    20,881.13x = 46,421.44 × 46,421.44
  4. Step 4: Simplify right side
    20,881.13x = 2,154,949,859.57
  5. Step 5: Solve for x
    x = 2,154,949,859.57/20,881.13
  6. Step 6: Final answer
    x = 103,200.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.