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Finding the Third Proportional to 27,152 and 35,786

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Solution

The third proportional to 27,152 and 35,786 is: 47,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152 : 35,786 = 35,786 : x
  2. Step 2: Convert to fraction form
    27,152/35,786 = 35,786/x
  3. Step 3: Cross multiply
    27,152x = 35,786 × 35,786
  4. Step 4: Simplify right side
    27,152x = 1,280,637,796
  5. Step 5: Solve for x
    x = 1,280,637,796/27,152
  6. Step 6: Final answer
    x = 47,165.51

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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.