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Finding the Third Proportional to 19,996 and 31,070

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Solution

The third proportional to 19,996 and 31,070 is: 48,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996 : 31,070 = 31,070 : x
  2. Step 2: Convert to fraction form
    19,996/31,070 = 31,070/x
  3. Step 3: Cross multiply
    19,996x = 31,070 × 31,070
  4. Step 4: Simplify right side
    19,996x = 965,344,900
  5. Step 5: Solve for x
    x = 965,344,900/19,996
  6. Step 6: Final answer
    x = 48,276.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.