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Finding the Third Proportional to 27,396 and 39,148

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Solution

The third proportional to 27,396 and 39,148 is: 55,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 39,148 = 39,148 : x
  2. Step 2: Convert to fraction form
    27,396/39,148 = 39,148/x
  3. Step 3: Cross multiply
    27,396x = 39,148 × 39,148
  4. Step 4: Simplify right side
    27,396x = 1,532,565,904
  5. Step 5: Solve for x
    x = 1,532,565,904/27,396
  6. Step 6: Final answer
    x = 55,941.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.