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Finding the Third Proportional to 6,368.63 and 8,557.31

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Solution

The third proportional to 6,368.63 and 8,557.31 is: 11,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.63 : 8,557.31 = 8,557.31 : x
  2. Step 2: Convert to fraction form
    6,368.63/8,557.31 = 8,557.31/x
  3. Step 3: Cross multiply
    6,368.63x = 8,557.31 × 8,557.31
  4. Step 4: Simplify right side
    6,368.63x = 73,227,597.22
  5. Step 5: Solve for x
    x = 73,227,597.22/6,368.63
  6. Step 6: Final answer
    x = 11,498.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.