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Finding the Third Proportional to 1,865 and 4,846.50

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Solution

The third proportional to 1,865 and 4,846.50 is: 12,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865 : 4,846.50 = 4,846.50 : x
  2. Step 2: Convert to fraction form
    1,865/4,846.50 = 4,846.50/x
  3. Step 3: Cross multiply
    1,865x = 4,846.50 × 4,846.50
  4. Step 4: Simplify right side
    1,865x = 23,488,562.25
  5. Step 5: Solve for x
    x = 23,488,562.25/1,865
  6. Step 6: Final answer
    x = 12,594.40

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.