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Finding the Third Proportional to 25,038 and 54,769

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Solution

The third proportional to 25,038 and 54,769 is: 119,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,038 : 54,769 = 54,769 : x
  2. Step 2: Convert to fraction form
    25,038/54,769 = 54,769/x
  3. Step 3: Cross multiply
    25,038x = 54,769 × 54,769
  4. Step 4: Simplify right side
    25,038x = 2,999,643,361
  5. Step 5: Solve for x
    x = 2,999,643,361/25,038
  6. Step 6: Final answer
    x = 119,803.63

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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.