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Finding the Third Proportional to 24,462 and 40,621.50

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Solution

The third proportional to 24,462 and 40,621.50 is: 67,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 40,621.50 = 40,621.50 : x
  2. Step 2: Convert to fraction form
    24,462/40,621.50 = 40,621.50/x
  3. Step 3: Cross multiply
    24,462x = 40,621.50 × 40,621.50
  4. Step 4: Simplify right side
    24,462x = 1,650,106,262.25
  5. Step 5: Solve for x
    x = 1,650,106,262.25/24,462
  6. Step 6: Final answer
    x = 67,455.90

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.