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Finding the Third Proportional to 19,895.25 and 31,053.75

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Solution

The third proportional to 19,895.25 and 31,053.75 is: 48,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,895.25 : 31,053.75 = 31,053.75 : x
  2. Step 2: Convert to fraction form
    19,895.25/31,053.75 = 31,053.75/x
  3. Step 3: Cross multiply
    19,895.25x = 31,053.75 × 31,053.75
  4. Step 4: Simplify right side
    19,895.25x = 964,335,389.06
  5. Step 5: Solve for x
    x = 964,335,389.06/19,895.25
  6. Step 6: Final answer
    x = 48,470.63

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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.