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Finding the Third Proportional to 14,814 and 20,803.50

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Solution

The third proportional to 14,814 and 20,803.50 is: 29,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814 : 20,803.50 = 20,803.50 : x
  2. Step 2: Convert to fraction form
    14,814/20,803.50 = 20,803.50/x
  3. Step 3: Cross multiply
    14,814x = 20,803.50 × 20,803.50
  4. Step 4: Simplify right side
    14,814x = 432,785,612.25
  5. Step 5: Solve for x
    x = 432,785,612.25/14,814
  6. Step 6: Final answer
    x = 29,214.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.