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Finding the Third Proportional to 6,116.77 and 9,303.29

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Solution

The third proportional to 6,116.77 and 9,303.29 is: 14,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.77 : 9,303.29 = 9,303.29 : x
  2. Step 2: Convert to fraction form
    6,116.77/9,303.29 = 9,303.29/x
  3. Step 3: Cross multiply
    6,116.77x = 9,303.29 × 9,303.29
  4. Step 4: Simplify right side
    6,116.77x = 86,551,260.06
  5. Step 5: Solve for x
    x = 86,551,260.06/6,116.77
  6. Step 6: Final answer
    x = 14,149.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.