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Finding the Third Proportional to 13,572 and 20,232

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Solution

The third proportional to 13,572 and 20,232 is: 30,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572 : 20,232 = 20,232 : x
  2. Step 2: Convert to fraction form
    13,572/20,232 = 20,232/x
  3. Step 3: Cross multiply
    13,572x = 20,232 × 20,232
  4. Step 4: Simplify right side
    13,572x = 409,333,824
  5. Step 5: Solve for x
    x = 409,333,824/13,572
  6. Step 6: Final answer
    x = 30,160.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.