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Finding the Third Proportional to 19,703.25 and 31,195.13

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Solution

The third proportional to 19,703.25 and 31,195.13 is: 49,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.25 : 31,195.13 = 31,195.13 : x
  2. Step 2: Convert to fraction form
    19,703.25/31,195.13 = 31,195.13/x
  3. Step 3: Cross multiply
    19,703.25x = 31,195.13 × 31,195.13
  4. Step 4: Simplify right side
    19,703.25x = 973,135,823.77
  5. Step 5: Solve for x
    x = 973,135,823.77/19,703.25
  6. Step 6: Final answer
    x = 49,389.61

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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.