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Finding the Third Proportional to 2,919.50 and 6,405.50

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Solution

The third proportional to 2,919.50 and 6,405.50 is: 14,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.50 : 6,405.50 = 6,405.50 : x
  2. Step 2: Convert to fraction form
    2,919.50/6,405.50 = 6,405.50/x
  3. Step 3: Cross multiply
    2,919.50x = 6,405.50 × 6,405.50
  4. Step 4: Simplify right side
    2,919.50x = 41,030,430.25
  5. Step 5: Solve for x
    x = 41,030,430.25/2,919.50
  6. Step 6: Final answer
    x = 14,053.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.