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Finding the Third Proportional to 27,902 and 39,780

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Solution

The third proportional to 27,902 and 39,780 is: 56,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902 : 39,780 = 39,780 : x
  2. Step 2: Convert to fraction form
    27,902/39,780 = 39,780/x
  3. Step 3: Cross multiply
    27,902x = 39,780 × 39,780
  4. Step 4: Simplify right side
    27,902x = 1,582,448,400
  5. Step 5: Solve for x
    x = 1,582,448,400/27,902
  6. Step 6: Final answer
    x = 56,714.52

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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.