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Finding the Third Proportional to 12,681.56 and 19,022.34

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Solution

The third proportional to 12,681.56 and 19,022.34 is: 28,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.56 : 19,022.34 = 19,022.34 : x
  2. Step 2: Convert to fraction form
    12,681.56/19,022.34 = 19,022.34/x
  3. Step 3: Cross multiply
    12,681.56x = 19,022.34 × 19,022.34
  4. Step 4: Simplify right side
    12,681.56x = 361,849,561.74
  5. Step 5: Solve for x
    x = 361,849,561.74/12,681.56
  6. Step 6: Final answer
    x = 28,533.52

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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.