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Finding the Third Proportional to 13,073 and 19,731

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Solution

The third proportional to 13,073 and 19,731 is: 29,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073 : 19,731 = 19,731 : x
  2. Step 2: Convert to fraction form
    13,073/19,731 = 19,731/x
  3. Step 3: Cross multiply
    13,073x = 19,731 × 19,731
  4. Step 4: Simplify right side
    13,073x = 389,312,361
  5. Step 5: Solve for x
    x = 389,312,361/13,073
  6. Step 6: Final answer
    x = 29,779.88

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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.