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Finding the Third Proportional to 19,909.13 and 31,073.63

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Solution

The third proportional to 19,909.13 and 31,073.63 is: 48,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.13 : 31,073.63 = 31,073.63 : x
  2. Step 2: Convert to fraction form
    19,909.13/31,073.63 = 31,073.63/x
  3. Step 3: Cross multiply
    19,909.13x = 31,073.63 × 31,073.63
  4. Step 4: Simplify right side
    19,909.13x = 965,570,170.64
  5. Step 5: Solve for x
    x = 965,570,170.64/19,909.13
  6. Step 6: Final answer
    x = 48,498.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.