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Finding the Third Proportional to 6,409.13 and 11,390.63

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Solution

The third proportional to 6,409.13 and 11,390.63 is: 20,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 11,390.63 = 11,390.63 : x
  2. Step 2: Convert to fraction form
    6,409.13/11,390.63 = 11,390.63/x
  3. Step 3: Cross multiply
    6,409.13x = 11,390.63 × 11,390.63
  4. Step 4: Simplify right side
    6,409.13x = 129,746,337.89
  5. Step 5: Solve for x
    x = 129,746,337.89/6,409.13
  6. Step 6: Final answer
    x = 20,244.00

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.