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Finding the Third Proportional to 21,306.16 and 31,546.34

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Solution

The third proportional to 21,306.16 and 31,546.34 is: 46,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.16 : 31,546.34 = 31,546.34 : x
  2. Step 2: Convert to fraction form
    21,306.16/31,546.34 = 31,546.34/x
  3. Step 3: Cross multiply
    21,306.16x = 31,546.34 × 31,546.34
  4. Step 4: Simplify right side
    21,306.16x = 995,171,311.08
  5. Step 5: Solve for x
    x = 995,171,311.08/21,306.16
  6. Step 6: Final answer
    x = 46,708.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.