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Finding the Third Proportional to 12,681.56 and 19,056.94

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Solution

The third proportional to 12,681.56 and 19,056.94 is: 28,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.56 : 19,056.94 = 19,056.94 : x
  2. Step 2: Convert to fraction form
    12,681.56/19,056.94 = 19,056.94/x
  3. Step 3: Cross multiply
    12,681.56x = 19,056.94 × 19,056.94
  4. Step 4: Simplify right side
    12,681.56x = 363,166,866.88
  5. Step 5: Solve for x
    x = 363,166,866.88/12,681.56
  6. Step 6: Final answer
    x = 28,637.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.