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Finding the Third Proportional to 23,820.19 and 50,803.88

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Solution

The third proportional to 23,820.19 and 50,803.88 is: 108,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.19 : 50,803.88 = 50,803.88 : x
  2. Step 2: Convert to fraction form
    23,820.19/50,803.88 = 50,803.88/x
  3. Step 3: Cross multiply
    23,820.19x = 50,803.88 × 50,803.88
  4. Step 4: Simplify right side
    23,820.19x = 2,581,033,715.02
  5. Step 5: Solve for x
    x = 2,581,033,715.02/23,820.19
  6. Step 6: Final answer
    x = 108,354.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.