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Finding the Third Proportional to 12,766.78 and 19,688.48

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Solution

The third proportional to 12,766.78 and 19,688.48 is: 30,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.78 : 19,688.48 = 19,688.48 : x
  2. Step 2: Convert to fraction form
    12,766.78/19,688.48 = 19,688.48/x
  3. Step 3: Cross multiply
    12,766.78x = 19,688.48 × 19,688.48
  4. Step 4: Simplify right side
    12,766.78x = 387,636,416.98
  5. Step 5: Solve for x
    x = 387,636,416.98/12,766.78
  6. Step 6: Final answer
    x = 30,362.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.