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Finding the Third Proportional to 2,903.63 and 6,350.63

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Solution

The third proportional to 2,903.63 and 6,350.63 is: 13,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.63 : 6,350.63 = 6,350.63 : x
  2. Step 2: Convert to fraction form
    2,903.63/6,350.63 = 6,350.63/x
  3. Step 3: Cross multiply
    2,903.63x = 6,350.63 × 6,350.63
  4. Step 4: Simplify right side
    2,903.63x = 40,330,437.89
  5. Step 5: Solve for x
    x = 40,330,437.89/2,903.63
  6. Step 6: Final answer
    x = 13,889.69

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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.