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Finding the Third Proportional to 30,462 and 45,693

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Solution

The third proportional to 30,462 and 45,693 is: 68,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462 : 45,693 = 45,693 : x
  2. Step 2: Convert to fraction form
    30,462/45,693 = 45,693/x
  3. Step 3: Cross multiply
    30,462x = 45,693 × 45,693
  4. Step 4: Simplify right side
    30,462x = 2,087,850,249
  5. Step 5: Solve for x
    x = 2,087,850,249/30,462
  6. Step 6: Final answer
    x = 68,539.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.