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Finding the Third Proportional to 25,761 and 53,754

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Solution

The third proportional to 25,761 and 53,754 is: 112,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,761 : 53,754 = 53,754 : x
  2. Step 2: Convert to fraction form
    25,761/53,754 = 53,754/x
  3. Step 3: Cross multiply
    25,761x = 53,754 × 53,754
  4. Step 4: Simplify right side
    25,761x = 2,889,492,516
  5. Step 5: Solve for x
    x = 2,889,492,516/25,761
  6. Step 6: Final answer
    x = 112,165.39

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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.