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Finding the Third Proportional to 25,744.24 and 53,141.54

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Solution

The third proportional to 25,744.24 and 53,141.54 is: 109,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.24 : 53,141.54 = 53,141.54 : x
  2. Step 2: Convert to fraction form
    25,744.24/53,141.54 = 53,141.54/x
  3. Step 3: Cross multiply
    25,744.24x = 53,141.54 × 53,141.54
  4. Step 4: Simplify right side
    25,744.24x = 2,824,022,966.35
  5. Step 5: Solve for x
    x = 2,824,022,966.35/25,744.24
  6. Step 6: Final answer
    x = 109,695.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.