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Finding the Third Proportional to 25,235.75 and 36,758.19

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Solution

The third proportional to 25,235.75 and 36,758.19 is: 53,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.75 : 36,758.19 = 36,758.19 : x
  2. Step 2: Convert to fraction form
    25,235.75/36,758.19 = 36,758.19/x
  3. Step 3: Cross multiply
    25,235.75x = 36,758.19 × 36,758.19
  4. Step 4: Simplify right side
    25,235.75x = 1,351,164,348.29
  5. Step 5: Solve for x
    x = 1,351,164,348.29/25,235.75
  6. Step 6: Final answer
    x = 53,541.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.