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Finding the Third Proportional to 14,997.75 and 22,009.13

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Solution

The third proportional to 14,997.75 and 22,009.13 is: 32,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.75 : 22,009.13 = 22,009.13 : x
  2. Step 2: Convert to fraction form
    14,997.75/22,009.13 = 22,009.13/x
  3. Step 3: Cross multiply
    14,997.75x = 22,009.13 × 22,009.13
  4. Step 4: Simplify right side
    14,997.75x = 484,401,583.27
  5. Step 5: Solve for x
    x = 484,401,583.27/14,997.75
  6. Step 6: Final answer
    x = 32,298.28

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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.