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Finding the Third Proportional to 14,841 and 20,020.50

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Solution

The third proportional to 14,841 and 20,020.50 is: 27,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841 : 20,020.50 = 20,020.50 : x
  2. Step 2: Convert to fraction form
    14,841/20,020.50 = 20,020.50/x
  3. Step 3: Cross multiply
    14,841x = 20,020.50 × 20,020.50
  4. Step 4: Simplify right side
    14,841x = 400,820,420.25
  5. Step 5: Solve for x
    x = 400,820,420.25/14,841
  6. Step 6: Final answer
    x = 27,007.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.