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Finding the Third Proportional to 10,223.09 and 14,998.61

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Solution

The third proportional to 10,223.09 and 14,998.61 is: 22,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.09 : 14,998.61 = 14,998.61 : x
  2. Step 2: Convert to fraction form
    10,223.09/14,998.61 = 14,998.61/x
  3. Step 3: Cross multiply
    10,223.09x = 14,998.61 × 14,998.61
  4. Step 4: Simplify right side
    10,223.09x = 224,958,166.01
  5. Step 5: Solve for x
    x = 224,958,166.01/10,223.09
  6. Step 6: Final answer
    x = 22,004.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.