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Finding the Third Proportional to 2,890.37 and 5,985.77

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Solution

The third proportional to 2,890.37 and 5,985.77 is: 12,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.37 : 5,985.77 = 5,985.77 : x
  2. Step 2: Convert to fraction form
    2,890.37/5,985.77 = 5,985.77/x
  3. Step 3: Cross multiply
    2,890.37x = 5,985.77 × 5,985.77
  4. Step 4: Simplify right side
    2,890.37x = 35,829,483.65
  5. Step 5: Solve for x
    x = 35,829,483.65/2,890.37
  6. Step 6: Final answer
    x = 12,396.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.