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Finding the Third Proportional to 1,874.74 and 4,102.59

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Solution

The third proportional to 1,874.74 and 4,102.59 is: 8,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.74 : 4,102.59 = 4,102.59 : x
  2. Step 2: Convert to fraction form
    1,874.74/4,102.59 = 4,102.59/x
  3. Step 3: Cross multiply
    1,874.74x = 4,102.59 × 4,102.59
  4. Step 4: Simplify right side
    1,874.74x = 16,831,275.48
  5. Step 5: Solve for x
    x = 16,831,275.48/1,874.74
  6. Step 6: Final answer
    x = 8,977.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.