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Finding the Third Proportional to 35,734 and 75,516

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Solution

The third proportional to 35,734 and 75,516 is: 159,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734 : 75,516 = 75,516 : x
  2. Step 2: Convert to fraction form
    35,734/75,516 = 75,516/x
  3. Step 3: Cross multiply
    35,734x = 75,516 × 75,516
  4. Step 4: Simplify right side
    35,734x = 5,702,666,256
  5. Step 5: Solve for x
    x = 5,702,666,256/35,734
  6. Step 6: Final answer
    x = 159,586.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.