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Finding the Third Proportional to 13,847.63 and 20,719.13

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Solution

The third proportional to 13,847.63 and 20,719.13 is: 31,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.63 : 20,719.13 = 20,719.13 : x
  2. Step 2: Convert to fraction form
    13,847.63/20,719.13 = 20,719.13/x
  3. Step 3: Cross multiply
    13,847.63x = 20,719.13 × 20,719.13
  4. Step 4: Simplify right side
    13,847.63x = 429,282,140.77
  5. Step 5: Solve for x
    x = 429,282,140.77/13,847.63
  6. Step 6: Final answer
    x = 31,000.42

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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.