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Finding the Third Proportional to 14,436 and 31,710

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Solution

The third proportional to 14,436 and 31,710 is: 69,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436 : 31,710 = 31,710 : x
  2. Step 2: Convert to fraction form
    14,436/31,710 = 31,710/x
  3. Step 3: Cross multiply
    14,436x = 31,710 × 31,710
  4. Step 4: Simplify right side
    14,436x = 1,005,524,100
  5. Step 5: Solve for x
    x = 1,005,524,100/14,436
  6. Step 6: Final answer
    x = 69,653.93

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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.