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Finding the Third Proportional to 19,735.50 and 31,246.88

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Solution

The third proportional to 19,735.50 and 31,246.88 is: 49,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.50 : 31,246.88 = 31,246.88 : x
  2. Step 2: Convert to fraction form
    19,735.50/31,246.88 = 31,246.88/x
  3. Step 3: Cross multiply
    19,735.50x = 31,246.88 × 31,246.88
  4. Step 4: Simplify right side
    19,735.50x = 976,367,197.27
  5. Step 5: Solve for x
    x = 976,367,197.27/19,735.50
  6. Step 6: Final answer
    x = 49,472.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.