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Finding the Third Proportional to 17,412 and 31,368

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Solution

The third proportional to 17,412 and 31,368 is: 56,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412 : 31,368 = 31,368 : x
  2. Step 2: Convert to fraction form
    17,412/31,368 = 31,368/x
  3. Step 3: Cross multiply
    17,412x = 31,368 × 31,368
  4. Step 4: Simplify right side
    17,412x = 983,951,424
  5. Step 5: Solve for x
    x = 983,951,424/17,412
  6. Step 6: Final answer
    x = 56,509.96

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.