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Finding the Third Proportional to 51,408 and 70,034.63

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Solution

The third proportional to 51,408 and 70,034.63 is: 95,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408 : 70,034.63 = 70,034.63 : x
  2. Step 2: Convert to fraction form
    51,408/70,034.63 = 70,034.63/x
  3. Step 3: Cross multiply
    51,408x = 70,034.63 × 70,034.63
  4. Step 4: Simplify right side
    51,408x = 4,904,848,698.89
  5. Step 5: Solve for x
    x = 4,904,848,698.89/51,408
  6. Step 6: Final answer
    x = 95,410.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.