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Finding the Third Proportional to 25,661 and 53,050

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Solution

The third proportional to 25,661 and 53,050 is: 109,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,661 : 53,050 = 53,050 : x
  2. Step 2: Convert to fraction form
    25,661/53,050 = 53,050/x
  3. Step 3: Cross multiply
    25,661x = 53,050 × 53,050
  4. Step 4: Simplify right side
    25,661x = 2,814,302,500
  5. Step 5: Solve for x
    x = 2,814,302,500/25,661
  6. Step 6: Final answer
    x = 109,672.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.