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Finding the Third Proportional to 29,750 and 61,964

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Solution

The third proportional to 29,750 and 61,964 is: 129,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750 : 61,964 = 61,964 : x
  2. Step 2: Convert to fraction form
    29,750/61,964 = 61,964/x
  3. Step 3: Cross multiply
    29,750x = 61,964 × 61,964
  4. Step 4: Simplify right side
    29,750x = 3,839,537,296
  5. Step 5: Solve for x
    x = 3,839,537,296/29,750
  6. Step 6: Final answer
    x = 129,060.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.