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Finding the Third Proportional to 2,094.19 and 4,870.69

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Solution

The third proportional to 2,094.19 and 4,870.69 is: 11,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.19 : 4,870.69 = 4,870.69 : x
  2. Step 2: Convert to fraction form
    2,094.19/4,870.69 = 4,870.69/x
  3. Step 3: Cross multiply
    2,094.19x = 4,870.69 × 4,870.69
  4. Step 4: Simplify right side
    2,094.19x = 23,723,596.72
  5. Step 5: Solve for x
    x = 23,723,596.72/2,094.19
  6. Step 6: Final answer
    x = 11,328.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.