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Finding the Third Proportional to 374 and 875

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Solution

The third proportional to 374 and 875 is: 2,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374 : 875 = 875 : x
  2. Step 2: Convert to fraction form
    374/875 = 875/x
  3. Step 3: Cross multiply
    374x = 875 × 875
  4. Step 4: Simplify right side
    374x = 765,625
  5. Step 5: Solve for x
    x = 765,625/374
  6. Step 6: Final answer
    x = 2,047.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.