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Finding the Third Proportional to 13,152 and 17,719.88

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Solution

The third proportional to 13,152 and 17,719.88 is: 23,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152 : 17,719.88 = 17,719.88 : x
  2. Step 2: Convert to fraction form
    13,152/17,719.88 = 17,719.88/x
  3. Step 3: Cross multiply
    13,152x = 17,719.88 × 17,719.88
  4. Step 4: Simplify right side
    13,152x = 313,993,970.02
  5. Step 5: Solve for x
    x = 313,993,970.02/13,152
  6. Step 6: Final answer
    x = 23,874.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.