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Finding the Third Proportional to 23,284.50 and 50,304

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Solution

The third proportional to 23,284.50 and 50,304 is: 108,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.50 : 50,304 = 50,304 : x
  2. Step 2: Convert to fraction form
    23,284.50/50,304 = 50,304/x
  3. Step 3: Cross multiply
    23,284.50x = 50,304 × 50,304
  4. Step 4: Simplify right side
    23,284.50x = 2,530,492,416
  5. Step 5: Solve for x
    x = 2,530,492,416/23,284.50
  6. Step 6: Final answer
    x = 108,677.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.