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Finding the Third Proportional to 6,409.13 and 10,319.06

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Solution

The third proportional to 6,409.13 and 10,319.06 is: 16,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 10,319.06 = 10,319.06 : x
  2. Step 2: Convert to fraction form
    6,409.13/10,319.06 = 10,319.06/x
  3. Step 3: Cross multiply
    6,409.13x = 10,319.06 × 10,319.06
  4. Step 4: Simplify right side
    6,409.13x = 106,483,050.88
  5. Step 5: Solve for x
    x = 106,483,050.88/6,409.13
  6. Step 6: Final answer
    x = 16,614.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.