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Finding the Third Proportional to 23,878.13 and 51,909.19

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Solution

The third proportional to 23,878.13 and 51,909.19 is: 112,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.13 : 51,909.19 = 51,909.19 : x
  2. Step 2: Convert to fraction form
    23,878.13/51,909.19 = 51,909.19/x
  3. Step 3: Cross multiply
    23,878.13x = 51,909.19 × 51,909.19
  4. Step 4: Simplify right side
    23,878.13x = 2,694,563,746.91
  5. Step 5: Solve for x
    x = 2,694,563,746.91/23,878.13
  6. Step 6: Final answer
    x = 112,846.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.