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Finding the Third Proportional to 31,044 and 65,786

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Solution

The third proportional to 31,044 and 65,786 is: 139,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044 : 65,786 = 65,786 : x
  2. Step 2: Convert to fraction form
    31,044/65,786 = 65,786/x
  3. Step 3: Cross multiply
    31,044x = 65,786 × 65,786
  4. Step 4: Simplify right side
    31,044x = 4,327,797,796
  5. Step 5: Solve for x
    x = 4,327,797,796/31,044
  6. Step 6: Final answer
    x = 139,408.51

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.