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Finding the Third Proportional to 34,927 and 73,275

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Solution

The third proportional to 34,927 and 73,275 is: 153,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,927 : 73,275 = 73,275 : x
  2. Step 2: Convert to fraction form
    34,927/73,275 = 73,275/x
  3. Step 3: Cross multiply
    34,927x = 73,275 × 73,275
  4. Step 4: Simplify right side
    34,927x = 5,369,225,625
  5. Step 5: Solve for x
    x = 5,369,225,625/34,927
  6. Step 6: Final answer
    x = 153,727.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.