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Finding the Third Proportional to 10,469.25 and 22,102.88

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Solution

The third proportional to 10,469.25 and 22,102.88 is: 46,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.25 : 22,102.88 = 22,102.88 : x
  2. Step 2: Convert to fraction form
    10,469.25/22,102.88 = 22,102.88/x
  3. Step 3: Cross multiply
    10,469.25x = 22,102.88 × 22,102.88
  4. Step 4: Simplify right side
    10,469.25x = 488,537,083.27
  5. Step 5: Solve for x
    x = 488,537,083.27/10,469.25
  6. Step 6: Final answer
    x = 46,664.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.