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Finding the Third Proportional to 27,846.75 and 36,925.50

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Solution

The third proportional to 27,846.75 and 36,925.50 is: 48,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.75 : 36,925.50 = 36,925.50 : x
  2. Step 2: Convert to fraction form
    27,846.75/36,925.50 = 36,925.50/x
  3. Step 3: Cross multiply
    27,846.75x = 36,925.50 × 36,925.50
  4. Step 4: Simplify right side
    27,846.75x = 1,363,492,550.25
  5. Step 5: Solve for x
    x = 1,363,492,550.25/27,846.75
  6. Step 6: Final answer
    x = 48,964.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.