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Finding the Third Proportional to 2,950.31 and 6,386.63

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Solution

The third proportional to 2,950.31 and 6,386.63 is: 13,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.31 : 6,386.63 = 6,386.63 : x
  2. Step 2: Convert to fraction form
    2,950.31/6,386.63 = 6,386.63/x
  3. Step 3: Cross multiply
    2,950.31x = 6,386.63 × 6,386.63
  4. Step 4: Simplify right side
    2,950.31x = 40,788,978.89
  5. Step 5: Solve for x
    x = 40,788,978.89/2,950.31
  6. Step 6: Final answer
    x = 13,825.31

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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.