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Finding the Third Proportional to 12,681.25 and 19,712.63

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Solution

The third proportional to 12,681.25 and 19,712.63 is: 30,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.25 : 19,712.63 = 19,712.63 : x
  2. Step 2: Convert to fraction form
    12,681.25/19,712.63 = 19,712.63/x
  3. Step 3: Cross multiply
    12,681.25x = 19,712.63 × 19,712.63
  4. Step 4: Simplify right side
    12,681.25x = 388,587,584.39
  5. Step 5: Solve for x
    x = 388,587,584.39/12,681.25
  6. Step 6: Final answer
    x = 30,642.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.