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Finding the Third Proportional to 27,594 and 38,089

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Solution

The third proportional to 27,594 and 38,089 is: 52,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594 : 38,089 = 38,089 : x
  2. Step 2: Convert to fraction form
    27,594/38,089 = 38,089/x
  3. Step 3: Cross multiply
    27,594x = 38,089 × 38,089
  4. Step 4: Simplify right side
    27,594x = 1,450,771,921
  5. Step 5: Solve for x
    x = 1,450,771,921/27,594
  6. Step 6: Final answer
    x = 52,575.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.