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Finding the Third Proportional to 15,946 and 37,057

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Solution

The third proportional to 15,946 and 37,057 is: 86,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946 : 37,057 = 37,057 : x
  2. Step 2: Convert to fraction form
    15,946/37,057 = 37,057/x
  3. Step 3: Cross multiply
    15,946x = 37,057 × 37,057
  4. Step 4: Simplify right side
    15,946x = 1,373,221,249
  5. Step 5: Solve for x
    x = 1,373,221,249/15,946
  6. Step 6: Final answer
    x = 86,116.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.