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Finding the Third Proportional to 3,000 and 6,478.50

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Solution

The third proportional to 3,000 and 6,478.50 is: 13,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 6,478.50 = 6,478.50 : x
  2. Step 2: Convert to fraction form
    3,000/6,478.50 = 6,478.50/x
  3. Step 3: Cross multiply
    3,000x = 6,478.50 × 6,478.50
  4. Step 4: Simplify right side
    3,000x = 41,970,962.25
  5. Step 5: Solve for x
    x = 41,970,962.25/3,000
  6. Step 6: Final answer
    x = 13,990.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.