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Finding the Third Proportional to 6,447.09 and 9,761.34

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Solution

The third proportional to 6,447.09 and 9,761.34 is: 14,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.09 : 9,761.34 = 9,761.34 : x
  2. Step 2: Convert to fraction form
    6,447.09/9,761.34 = 9,761.34/x
  3. Step 3: Cross multiply
    6,447.09x = 9,761.34 × 9,761.34
  4. Step 4: Simplify right side
    6,447.09x = 95,283,831.81
  5. Step 5: Solve for x
    x = 95,283,831.81/6,447.09
  6. Step 6: Final answer
    x = 14,779.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.