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Finding the Third Proportional to 15,700 and 33,965

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Solution

The third proportional to 15,700 and 33,965 is: 73,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700 : 33,965 = 33,965 : x
  2. Step 2: Convert to fraction form
    15,700/33,965 = 33,965/x
  3. Step 3: Cross multiply
    15,700x = 33,965 × 33,965
  4. Step 4: Simplify right side
    15,700x = 1,153,621,225
  5. Step 5: Solve for x
    x = 1,153,621,225/15,700
  6. Step 6: Final answer
    x = 73,479.06

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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.