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Finding the Third Proportional to 10,469.63 and 22,821.75

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Solution

The third proportional to 10,469.63 and 22,821.75 is: 49,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.63 : 22,821.75 = 22,821.75 : x
  2. Step 2: Convert to fraction form
    10,469.63/22,821.75 = 22,821.75/x
  3. Step 3: Cross multiply
    10,469.63x = 22,821.75 × 22,821.75
  4. Step 4: Simplify right side
    10,469.63x = 520,832,273.06
  5. Step 5: Solve for x
    x = 520,832,273.06/10,469.63
  6. Step 6: Final answer
    x = 49,746.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.