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Finding the Third Proportional to 51,011 and 74,559

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Solution

The third proportional to 51,011 and 74,559 is: 108,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,011 : 74,559 = 74,559 : x
  2. Step 2: Convert to fraction form
    51,011/74,559 = 74,559/x
  3. Step 3: Cross multiply
    51,011x = 74,559 × 74,559
  4. Step 4: Simplify right side
    51,011x = 5,559,044,481
  5. Step 5: Solve for x
    x = 5,559,044,481/51,011
  6. Step 6: Final answer
    x = 108,977.37

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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.