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Finding the Third Proportional to 4,124.50 and 9,169

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Solution

The third proportional to 4,124.50 and 9,169 is: 20,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.50 : 9,169 = 9,169 : x
  2. Step 2: Convert to fraction form
    4,124.50/9,169 = 9,169/x
  3. Step 3: Cross multiply
    4,124.50x = 9,169 × 9,169
  4. Step 4: Simplify right side
    4,124.50x = 84,070,561
  5. Step 5: Solve for x
    x = 84,070,561/4,124.50
  6. Step 6: Final answer
    x = 20,383.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.