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Finding the Third Proportional to 34,710.75 and 50,770.13

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Solution

The third proportional to 34,710.75 and 50,770.13 is: 74,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710.75 : 50,770.13 = 50,770.13 : x
  2. Step 2: Convert to fraction form
    34,710.75/50,770.13 = 50,770.13/x
  3. Step 3: Cross multiply
    34,710.75x = 50,770.13 × 50,770.13
  4. Step 4: Simplify right side
    34,710.75x = 2,577,605,592.52
  5. Step 5: Solve for x
    x = 2,577,605,592.52/34,710.75
  6. Step 6: Final answer
    x = 74,259.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.