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Finding the Third Proportional to 13,047.75 and 19,753.88

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Solution

The third proportional to 13,047.75 and 19,753.88 is: 29,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.75 : 19,753.88 = 19,753.88 : x
  2. Step 2: Convert to fraction form
    13,047.75/19,753.88 = 19,753.88/x
  3. Step 3: Cross multiply
    13,047.75x = 19,753.88 × 19,753.88
  4. Step 4: Simplify right side
    13,047.75x = 390,215,577.52
  5. Step 5: Solve for x
    x = 390,215,577.52/13,047.75
  6. Step 6: Final answer
    x = 29,906.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.