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Finding the Third Proportional to 25,803.56 and 53,262.56

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Solution

The third proportional to 25,803.56 and 53,262.56 is: 109,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.56 : 53,262.56 = 53,262.56 : x
  2. Step 2: Convert to fraction form
    25,803.56/53,262.56 = 53,262.56/x
  3. Step 3: Cross multiply
    25,803.56x = 53,262.56 × 53,262.56
  4. Step 4: Simplify right side
    25,803.56x = 2,836,900,564.07
  5. Step 5: Solve for x
    x = 2,836,900,564.07/25,803.56
  6. Step 6: Final answer
    x = 109,942.21

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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.