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Finding the Third Proportional to 34,971.75 and 75,471.75

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Solution

The third proportional to 34,971.75 and 75,471.75 is: 162,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.75 : 75,471.75 = 75,471.75 : x
  2. Step 2: Convert to fraction form
    34,971.75/75,471.75 = 75,471.75/x
  3. Step 3: Cross multiply
    34,971.75x = 75,471.75 × 75,471.75
  4. Step 4: Simplify right side
    34,971.75x = 5,695,985,048.06
  5. Step 5: Solve for x
    x = 5,695,985,048.06/34,971.75
  6. Step 6: Final answer
    x = 162,873.89

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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.