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Finding the Third Proportional to 12,927.41 and 19,967.77

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Solution

The third proportional to 12,927.41 and 19,967.77 is: 30,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.41 : 19,967.77 = 19,967.77 : x
  2. Step 2: Convert to fraction form
    12,927.41/19,967.77 = 19,967.77/x
  3. Step 3: Cross multiply
    12,927.41x = 19,967.77 × 19,967.77
  4. Step 4: Simplify right side
    12,927.41x = 398,711,664.05
  5. Step 5: Solve for x
    x = 398,711,664.05/12,927.41
  6. Step 6: Final answer
    x = 30,842.35

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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.