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Finding the Third Proportional to 27,594 and 36,288

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Solution

The third proportional to 27,594 and 36,288 is: 47,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594 : 36,288 = 36,288 : x
  2. Step 2: Convert to fraction form
    27,594/36,288 = 36,288/x
  3. Step 3: Cross multiply
    27,594x = 36,288 × 36,288
  4. Step 4: Simplify right side
    27,594x = 1,316,818,944
  5. Step 5: Solve for x
    x = 1,316,818,944/27,594
  6. Step 6: Final answer
    x = 47,721.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.