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Finding the Third Proportional to 27,563.63 and 40,388.63

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Solution

The third proportional to 27,563.63 and 40,388.63 is: 59,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563.63 : 40,388.63 = 40,388.63 : x
  2. Step 2: Convert to fraction form
    27,563.63/40,388.63 = 40,388.63/x
  3. Step 3: Cross multiply
    27,563.63x = 40,388.63 × 40,388.63
  4. Step 4: Simplify right side
    27,563.63x = 1,631,241,029.39
  5. Step 5: Solve for x
    x = 1,631,241,029.39/27,563.63
  6. Step 6: Final answer
    x = 59,180.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.