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Finding the Third Proportional to 29,250 and 44,165

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Solution

The third proportional to 29,250 and 44,165 is: 66,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,250 : 44,165 = 44,165 : x
  2. Step 2: Convert to fraction form
    29,250/44,165 = 44,165/x
  3. Step 3: Cross multiply
    29,250x = 44,165 × 44,165
  4. Step 4: Simplify right side
    29,250x = 1,950,547,225
  5. Step 5: Solve for x
    x = 1,950,547,225/29,250
  6. Step 6: Final answer
    x = 66,685.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.