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Finding the Third Proportional to 25,762.50 and 54,291.38

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Solution

The third proportional to 25,762.50 and 54,291.38 is: 114,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.50 : 54,291.38 = 54,291.38 : x
  2. Step 2: Convert to fraction form
    25,762.50/54,291.38 = 54,291.38/x
  3. Step 3: Cross multiply
    25,762.50x = 54,291.38 × 54,291.38
  4. Step 4: Simplify right side
    25,762.50x = 2,947,553,399.39
  5. Step 5: Solve for x
    x = 2,947,553,399.39/25,762.50
  6. Step 6: Final answer
    x = 114,412.55

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