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Finding the Third Proportional to 15,758 and 34,057

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Solution

The third proportional to 15,758 and 34,057 is: 73,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758 : 34,057 = 34,057 : x
  2. Step 2: Convert to fraction form
    15,758/34,057 = 34,057/x
  3. Step 3: Cross multiply
    15,758x = 34,057 × 34,057
  4. Step 4: Simplify right side
    15,758x = 1,159,879,249
  5. Step 5: Solve for x
    x = 1,159,879,249/15,758
  6. Step 6: Final answer
    x = 73,605.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.