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Finding the Third Proportional to 34,575 and 50,349

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Solution

The third proportional to 34,575 and 50,349 is: 73,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,575 : 50,349 = 50,349 : x
  2. Step 2: Convert to fraction form
    34,575/50,349 = 50,349/x
  3. Step 3: Cross multiply
    34,575x = 50,349 × 50,349
  4. Step 4: Simplify right side
    34,575x = 2,535,021,801
  5. Step 5: Solve for x
    x = 2,535,021,801/34,575
  6. Step 6: Final answer
    x = 73,319.50

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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.