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Finding the Third Proportional to 12,987.38 and 19,568.81

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Solution

The third proportional to 12,987.38 and 19,568.81 is: 29,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.38 : 19,568.81 = 19,568.81 : x
  2. Step 2: Convert to fraction form
    12,987.38/19,568.81 = 19,568.81/x
  3. Step 3: Cross multiply
    12,987.38x = 19,568.81 × 19,568.81
  4. Step 4: Simplify right side
    12,987.38x = 382,938,422.66
  5. Step 5: Solve for x
    x = 382,938,422.66/12,987.38
  6. Step 6: Final answer
    x = 29,485.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.