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Finding the Third Proportional to 29,700 and 64,042

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Solution

The third proportional to 29,700 and 64,042 is: 138,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700 : 64,042 = 64,042 : x
  2. Step 2: Convert to fraction form
    29,700/64,042 = 64,042/x
  3. Step 3: Cross multiply
    29,700x = 64,042 × 64,042
  4. Step 4: Simplify right side
    29,700x = 4,101,377,764
  5. Step 5: Solve for x
    x = 4,101,377,764/29,700
  6. Step 6: Final answer
    x = 138,093.53

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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.