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Finding the Third Proportional to 14,784 and 24,634

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Solution

The third proportional to 14,784 and 24,634 is: 41,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 24,634 = 24,634 : x
  2. Step 2: Convert to fraction form
    14,784/24,634 = 24,634/x
  3. Step 3: Cross multiply
    14,784x = 24,634 × 24,634
  4. Step 4: Simplify right side
    14,784x = 606,833,956
  5. Step 5: Solve for x
    x = 606,833,956/14,784
  6. Step 6: Final answer
    x = 41,046.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.