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Finding the Third Proportional to 12,711 and 19,444.50

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Solution

The third proportional to 12,711 and 19,444.50 is: 29,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 19,444.50 = 19,444.50 : x
  2. Step 2: Convert to fraction form
    12,711/19,444.50 = 19,444.50/x
  3. Step 3: Cross multiply
    12,711x = 19,444.50 × 19,444.50
  4. Step 4: Simplify right side
    12,711x = 378,088,580.25
  5. Step 5: Solve for x
    x = 378,088,580.25/12,711
  6. Step 6: Final answer
    x = 29,744.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.