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Finding the Third Proportional to 15,758.72 and 34,142.34

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Solution

The third proportional to 15,758.72 and 34,142.34 is: 73,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.72 : 34,142.34 = 34,142.34 : x
  2. Step 2: Convert to fraction form
    15,758.72/34,142.34 = 34,142.34/x
  3. Step 3: Cross multiply
    15,758.72x = 34,142.34 × 34,142.34
  4. Step 4: Simplify right side
    15,758.72x = 1,165,699,636.74
  5. Step 5: Solve for x
    x = 1,165,699,636.74/15,758.72
  6. Step 6: Final answer
    x = 73,971.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.