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Finding the Third Proportional to 999.75 and 1,874.63

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Solution

The third proportional to 999.75 and 1,874.63 is: 3,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.75 : 1,874.63 = 1,874.63 : x
  2. Step 2: Convert to fraction form
    999.75/1,874.63 = 1,874.63/x
  3. Step 3: Cross multiply
    999.75x = 1,874.63 × 1,874.63
  4. Step 4: Simplify right side
    999.75x = 3,514,218.89
  5. Step 5: Solve for x
    x = 3,514,218.89/999.75
  6. Step 6: Final answer
    x = 3,515.10

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.