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Finding the Third Proportional to 25,153 and 52,754

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Solution

The third proportional to 25,153 and 52,754 is: 110,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153 : 52,754 = 52,754 : x
  2. Step 2: Convert to fraction form
    25,153/52,754 = 52,754/x
  3. Step 3: Cross multiply
    25,153x = 52,754 × 52,754
  4. Step 4: Simplify right side
    25,153x = 2,782,984,516
  5. Step 5: Solve for x
    x = 2,782,984,516/25,153
  6. Step 6: Final answer
    x = 110,642.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.