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Finding the Third Proportional to 14,200.31 and 20,358.84

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Solution

The third proportional to 14,200.31 and 20,358.84 is: 29,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.31 : 20,358.84 = 20,358.84 : x
  2. Step 2: Convert to fraction form
    14,200.31/20,358.84 = 20,358.84/x
  3. Step 3: Cross multiply
    14,200.31x = 20,358.84 × 20,358.84
  4. Step 4: Simplify right side
    14,200.31x = 414,482,518.84
  5. Step 5: Solve for x
    x = 414,482,518.84/14,200.31
  6. Step 6: Final answer
    x = 29,188.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.