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Finding the Third Proportional to 35,707 and 84,595

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Solution

The third proportional to 35,707 and 84,595 is: 200,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707 : 84,595 = 84,595 : x
  2. Step 2: Convert to fraction form
    35,707/84,595 = 84,595/x
  3. Step 3: Cross multiply
    35,707x = 84,595 × 84,595
  4. Step 4: Simplify right side
    35,707x = 7,156,314,025
  5. Step 5: Solve for x
    x = 7,156,314,025/35,707
  6. Step 6: Final answer
    x = 200,417.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.