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Finding the Third Proportional to 19,686.80 and 30,261.09

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Solution

The third proportional to 19,686.80 and 30,261.09 is: 46,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.80 : 30,261.09 = 30,261.09 : x
  2. Step 2: Convert to fraction form
    19,686.80/30,261.09 = 30,261.09/x
  3. Step 3: Cross multiply
    19,686.80x = 30,261.09 × 30,261.09
  4. Step 4: Simplify right side
    19,686.80x = 915,733,794.95
  5. Step 5: Solve for x
    x = 915,733,794.95/19,686.80
  6. Step 6: Final answer
    x = 46,515.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.