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Finding the Third Proportional to 12,870.56 and 19,192.78

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Solution

The third proportional to 12,870.56 and 19,192.78 is: 28,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.56 : 19,192.78 = 19,192.78 : x
  2. Step 2: Convert to fraction form
    12,870.56/19,192.78 = 19,192.78/x
  3. Step 3: Cross multiply
    12,870.56x = 19,192.78 × 19,192.78
  4. Step 4: Simplify right side
    12,870.56x = 368,362,852.11
  5. Step 5: Solve for x
    x = 368,362,852.11/12,870.56
  6. Step 6: Final answer
    x = 28,620.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.