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Finding the Third Proportional to 34,239 and 51,250.50

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Solution

The third proportional to 34,239 and 51,250.50 is: 76,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,239 : 51,250.50 = 51,250.50 : x
  2. Step 2: Convert to fraction form
    34,239/51,250.50 = 51,250.50/x
  3. Step 3: Cross multiply
    34,239x = 51,250.50 × 51,250.50
  4. Step 4: Simplify right side
    34,239x = 2,626,613,750.25
  5. Step 5: Solve for x
    x = 2,626,613,750.25/34,239
  6. Step 6: Final answer
    x = 76,714.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.