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Finding the Third Proportional to 34,386 and 50,559

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Solution

The third proportional to 34,386 and 50,559 is: 74,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,386 : 50,559 = 50,559 : x
  2. Step 2: Convert to fraction form
    34,386/50,559 = 50,559/x
  3. Step 3: Cross multiply
    34,386x = 50,559 × 50,559
  4. Step 4: Simplify right side
    34,386x = 2,556,212,481
  5. Step 5: Solve for x
    x = 2,556,212,481/34,386
  6. Step 6: Final answer
    x = 74,338.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.