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Finding the Third Proportional to 9,772.31 and 19,058.53

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Solution

The third proportional to 9,772.31 and 19,058.53 is: 37,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.31 : 19,058.53 = 19,058.53 : x
  2. Step 2: Convert to fraction form
    9,772.31/19,058.53 = 19,058.53/x
  3. Step 3: Cross multiply
    9,772.31x = 19,058.53 × 19,058.53
  4. Step 4: Simplify right side
    9,772.31x = 363,227,613.41
  5. Step 5: Solve for x
    x = 363,227,613.41/9,772.31
  6. Step 6: Final answer
    x = 37,169.05

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.