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Finding the Third Proportional to 25,904.75 and 39,363.38

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Solution

The third proportional to 25,904.75 and 39,363.38 is: 59,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,904.75 : 39,363.38 = 39,363.38 : x
  2. Step 2: Convert to fraction form
    25,904.75/39,363.38 = 39,363.38/x
  3. Step 3: Cross multiply
    25,904.75x = 39,363.38 × 39,363.38
  4. Step 4: Simplify right side
    25,904.75x = 1,549,475,291.39
  5. Step 5: Solve for x
    x = 1,549,475,291.39/25,904.75
  6. Step 6: Final answer
    x = 59,814.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.