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Finding the Third Proportional to 5,973 and 13,139

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Solution

The third proportional to 5,973 and 13,139 is: 28,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973 : 13,139 = 13,139 : x
  2. Step 2: Convert to fraction form
    5,973/13,139 = 13,139/x
  3. Step 3: Cross multiply
    5,973x = 13,139 × 13,139
  4. Step 4: Simplify right side
    5,973x = 172,633,321
  5. Step 5: Solve for x
    x = 172,633,321/5,973
  6. Step 6: Final answer
    x = 28,902.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.