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Finding the Third Proportional to 13,572 and 29,906

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Solution

The third proportional to 13,572 and 29,906 is: 65,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572 : 29,906 = 29,906 : x
  2. Step 2: Convert to fraction form
    13,572/29,906 = 29,906/x
  3. Step 3: Cross multiply
    13,572x = 29,906 × 29,906
  4. Step 4: Simplify right side
    13,572x = 894,368,836
  5. Step 5: Solve for x
    x = 894,368,836/13,572
  6. Step 6: Final answer
    x = 65,898.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.