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Finding the Third Proportional to 14,517 and 20,623.50

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Solution

The third proportional to 14,517 and 20,623.50 is: 29,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 20,623.50 = 20,623.50 : x
  2. Step 2: Convert to fraction form
    14,517/20,623.50 = 20,623.50/x
  3. Step 3: Cross multiply
    14,517x = 20,623.50 × 20,623.50
  4. Step 4: Simplify right side
    14,517x = 425,328,752.25
  5. Step 5: Solve for x
    x = 425,328,752.25/14,517
  6. Step 6: Final answer
    x = 29,298.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.