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Finding the Third Proportional to 25,804.81 and 36,339.06

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Solution

The third proportional to 25,804.81 and 36,339.06 is: 51,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804.81 : 36,339.06 = 36,339.06 : x
  2. Step 2: Convert to fraction form
    25,804.81/36,339.06 = 36,339.06/x
  3. Step 3: Cross multiply
    25,804.81x = 36,339.06 × 36,339.06
  4. Step 4: Simplify right side
    25,804.81x = 1,320,527,463.38
  5. Step 5: Solve for x
    x = 1,320,527,463.38/25,804.81
  6. Step 6: Final answer
    x = 51,173.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.