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Finding the Third Proportional to 27,210 and 39,883

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Solution

The third proportional to 27,210 and 39,883 is: 58,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,210 : 39,883 = 39,883 : x
  2. Step 2: Convert to fraction form
    27,210/39,883 = 39,883/x
  3. Step 3: Cross multiply
    27,210x = 39,883 × 39,883
  4. Step 4: Simplify right side
    27,210x = 1,590,653,689
  5. Step 5: Solve for x
    x = 1,590,653,689/27,210
  6. Step 6: Final answer
    x = 58,458.42

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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.