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Finding the Third Proportional to 27,222 and 40,803

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Solution

The third proportional to 27,222 and 40,803 is: 61,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222 : 40,803 = 40,803 : x
  2. Step 2: Convert to fraction form
    27,222/40,803 = 40,803/x
  3. Step 3: Cross multiply
    27,222x = 40,803 × 40,803
  4. Step 4: Simplify right side
    27,222x = 1,664,884,809
  5. Step 5: Solve for x
    x = 1,664,884,809/27,222
  6. Step 6: Final answer
    x = 61,159.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.