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Finding the Third Proportional to 12,038 and 25,169

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Solution

The third proportional to 12,038 and 25,169 is: 52,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038 : 25,169 = 25,169 : x
  2. Step 2: Convert to fraction form
    12,038/25,169 = 25,169/x
  3. Step 3: Cross multiply
    12,038x = 25,169 × 25,169
  4. Step 4: Simplify right side
    12,038x = 633,478,561
  5. Step 5: Solve for x
    x = 633,478,561/12,038
  6. Step 6: Final answer
    x = 52,623.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.