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Finding the Third Proportional to 34,638.50 and 74,575

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Solution

The third proportional to 34,638.50 and 74,575 is: 160,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638.50 : 74,575 = 74,575 : x
  2. Step 2: Convert to fraction form
    34,638.50/74,575 = 74,575/x
  3. Step 3: Cross multiply
    34,638.50x = 74,575 × 74,575
  4. Step 4: Simplify right side
    34,638.50x = 5,561,430,625
  5. Step 5: Solve for x
    x = 5,561,430,625/34,638.50
  6. Step 6: Final answer
    x = 160,556.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.