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Finding the Third Proportional to 7,034 and 14,779

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Solution

The third proportional to 7,034 and 14,779 is: 31,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 14,779 = 14,779 : x
  2. Step 2: Convert to fraction form
    7,034/14,779 = 14,779/x
  3. Step 3: Cross multiply
    7,034x = 14,779 × 14,779
  4. Step 4: Simplify right side
    7,034x = 218,418,841
  5. Step 5: Solve for x
    x = 218,418,841/7,034
  6. Step 6: Final answer
    x = 31,051.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.