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Finding the Third Proportional to 25,836.75 and 53,290.13

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Solution

The third proportional to 25,836.75 and 53,290.13 is: 109,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836.75 : 53,290.13 = 53,290.13 : x
  2. Step 2: Convert to fraction form
    25,836.75/53,290.13 = 53,290.13/x
  3. Step 3: Cross multiply
    25,836.75x = 53,290.13 × 53,290.13
  4. Step 4: Simplify right side
    25,836.75x = 2,839,837,422.52
  5. Step 5: Solve for x
    x = 2,839,837,422.52/25,836.75
  6. Step 6: Final answer
    x = 109,914.65

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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.