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Finding the Third Proportional to 9,169 and 20,090

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Solution

The third proportional to 9,169 and 20,090 is: 44,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 20,090 = 20,090 : x
  2. Step 2: Convert to fraction form
    9,169/20,090 = 20,090/x
  3. Step 3: Cross multiply
    9,169x = 20,090 × 20,090
  4. Step 4: Simplify right side
    9,169x = 403,608,100
  5. Step 5: Solve for x
    x = 403,608,100/9,169
  6. Step 6: Final answer
    x = 44,018.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.