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Finding the Third Proportional to 1,000.48 and 2,184.15

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Solution

The third proportional to 1,000.48 and 2,184.15 is: 4,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.48 : 2,184.15 = 2,184.15 : x
  2. Step 2: Convert to fraction form
    1,000.48/2,184.15 = 2,184.15/x
  3. Step 3: Cross multiply
    1,000.48x = 2,184.15 × 2,184.15
  4. Step 4: Simplify right side
    1,000.48x = 4,770,521.46
  5. Step 5: Solve for x
    x = 4,770,521.46/1,000.48
  6. Step 6: Final answer
    x = 4,768.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.