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Finding the Third Proportional to 35,723 and 40,462

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Solution

The third proportional to 35,723 and 40,462 is: 45,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,723 : 40,462 = 40,462 : x
  2. Step 2: Convert to fraction form
    35,723/40,462 = 40,462/x
  3. Step 3: Cross multiply
    35,723x = 40,462 × 40,462
  4. Step 4: Simplify right side
    35,723x = 1,637,173,444
  5. Step 5: Solve for x
    x = 1,637,173,444/35,723
  6. Step 6: Final answer
    x = 45,829.67

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.