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Finding the Third Proportional to 27,159 and 39,222

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Solution

The third proportional to 27,159 and 39,222 is: 56,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159 : 39,222 = 39,222 : x
  2. Step 2: Convert to fraction form
    27,159/39,222 = 39,222/x
  3. Step 3: Cross multiply
    27,159x = 39,222 × 39,222
  4. Step 4: Simplify right side
    27,159x = 1,538,365,284
  5. Step 5: Solve for x
    x = 1,538,365,284/27,159
  6. Step 6: Final answer
    x = 56,642.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.