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Finding the Third Proportional to 18,250 and 29,015

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Solution

The third proportional to 18,250 and 29,015 is: 46,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,250 : 29,015 = 29,015 : x
  2. Step 2: Convert to fraction form
    18,250/29,015 = 29,015/x
  3. Step 3: Cross multiply
    18,250x = 29,015 × 29,015
  4. Step 4: Simplify right side
    18,250x = 841,870,225
  5. Step 5: Solve for x
    x = 841,870,225/18,250
  6. Step 6: Final answer
    x = 46,129.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.