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Finding the Third Proportional to 27,823.50 and 40,365

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Solution

The third proportional to 27,823.50 and 40,365 is: 58,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.50 : 40,365 = 40,365 : x
  2. Step 2: Convert to fraction form
    27,823.50/40,365 = 40,365/x
  3. Step 3: Cross multiply
    27,823.50x = 40,365 × 40,365
  4. Step 4: Simplify right side
    27,823.50x = 1,629,333,225
  5. Step 5: Solve for x
    x = 1,629,333,225/27,823.50
  6. Step 6: Final answer
    x = 58,559.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.