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Finding the Third Proportional to 29,186 and 43,011

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Solution

The third proportional to 29,186 and 43,011 is: 63,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186 : 43,011 = 43,011 : x
  2. Step 2: Convert to fraction form
    29,186/43,011 = 43,011/x
  3. Step 3: Cross multiply
    29,186x = 43,011 × 43,011
  4. Step 4: Simplify right side
    29,186x = 1,849,946,121
  5. Step 5: Solve for x
    x = 1,849,946,121/29,186
  6. Step 6: Final answer
    x = 63,384.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.