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Finding the Third Proportional to 14,322 and 31,548

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Solution

The third proportional to 14,322 and 31,548 is: 69,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322 : 31,548 = 31,548 : x
  2. Step 2: Convert to fraction form
    14,322/31,548 = 31,548/x
  3. Step 3: Cross multiply
    14,322x = 31,548 × 31,548
  4. Step 4: Simplify right side
    14,322x = 995,276,304
  5. Step 5: Solve for x
    x = 995,276,304/14,322
  6. Step 6: Final answer
    x = 69,492.83

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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.