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Finding the Third Proportional to 994 and 2,187.50

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Solution

The third proportional to 994 and 2,187.50 is: 4,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    994 : 2,187.50 = 2,187.50 : x
  2. Step 2: Convert to fraction form
    994/2,187.50 = 2,187.50/x
  3. Step 3: Cross multiply
    994x = 2,187.50 × 2,187.50
  4. Step 4: Simplify right side
    994x = 4,785,156.25
  5. Step 5: Solve for x
    x = 4,785,156.25/994
  6. Step 6: Final answer
    x = 4,814.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.