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Finding the Third Proportional to 29,031 and 63,771.38

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Solution

The third proportional to 29,031 and 63,771.38 is: 140,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,031 : 63,771.38 = 63,771.38 : x
  2. Step 2: Convert to fraction form
    29,031/63,771.38 = 63,771.38/x
  3. Step 3: Cross multiply
    29,031x = 63,771.38 × 63,771.38
  4. Step 4: Simplify right side
    29,031x = 4,066,788,269.39
  5. Step 5: Solve for x
    x = 4,066,788,269.39/29,031
  6. Step 6: Final answer
    x = 140,084.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.