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Finding the Third Proportional to 18,177 and 29,007

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Solution

The third proportional to 18,177 and 29,007 is: 46,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,177 : 29,007 = 29,007 : x
  2. Step 2: Convert to fraction form
    18,177/29,007 = 29,007/x
  3. Step 3: Cross multiply
    18,177x = 29,007 × 29,007
  4. Step 4: Simplify right side
    18,177x = 841,406,049
  5. Step 5: Solve for x
    x = 841,406,049/18,177
  6. Step 6: Final answer
    x = 46,289.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.