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Finding the Third Proportional to 10,203 and 14,074.50

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Solution

The third proportional to 10,203 and 14,074.50 is: 19,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203 : 14,074.50 = 14,074.50 : x
  2. Step 2: Convert to fraction form
    10,203/14,074.50 = 14,074.50/x
  3. Step 3: Cross multiply
    10,203x = 14,074.50 × 14,074.50
  4. Step 4: Simplify right side
    10,203x = 198,091,550.25
  5. Step 5: Solve for x
    x = 198,091,550.25/10,203
  6. Step 6: Final answer
    x = 19,415.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.