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Finding the Third Proportional to 13,032 and 14,112

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Solution

The third proportional to 13,032 and 14,112 is: 15,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032 : 14,112 = 14,112 : x
  2. Step 2: Convert to fraction form
    13,032/14,112 = 14,112/x
  3. Step 3: Cross multiply
    13,032x = 14,112 × 14,112
  4. Step 4: Simplify right side
    13,032x = 199,148,544
  5. Step 5: Solve for x
    x = 199,148,544/13,032
  6. Step 6: Final answer
    x = 15,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.