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Finding the Third Proportional to 25,426 and 53,756

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Solution

The third proportional to 25,426 and 53,756 is: 113,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,426 : 53,756 = 53,756 : x
  2. Step 2: Convert to fraction form
    25,426/53,756 = 53,756/x
  3. Step 3: Cross multiply
    25,426x = 53,756 × 53,756
  4. Step 4: Simplify right side
    25,426x = 2,889,707,536
  5. Step 5: Solve for x
    x = 2,889,707,536/25,426
  6. Step 6: Final answer
    x = 113,651.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.