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Finding the Third Proportional to 27,803 and 40,732

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Solution

The third proportional to 27,803 and 40,732 is: 59,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803 : 40,732 = 40,732 : x
  2. Step 2: Convert to fraction form
    27,803/40,732 = 40,732/x
  3. Step 3: Cross multiply
    27,803x = 40,732 × 40,732
  4. Step 4: Simplify right side
    27,803x = 1,659,095,824
  5. Step 5: Solve for x
    x = 1,659,095,824/27,803
  6. Step 6: Final answer
    x = 59,673.27

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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.