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Finding the Third Proportional to 21,039 and 31,613

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Solution

The third proportional to 21,039 and 31,613 is: 47,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,039 : 31,613 = 31,613 : x
  2. Step 2: Convert to fraction form
    21,039/31,613 = 31,613/x
  3. Step 3: Cross multiply
    21,039x = 31,613 × 31,613
  4. Step 4: Simplify right side
    21,039x = 999,381,769
  5. Step 5: Solve for x
    x = 999,381,769/21,039
  6. Step 6: Final answer
    x = 47,501.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.