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Finding the Third Proportional to 6,301.13 and 10,454.06

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Solution

The third proportional to 6,301.13 and 10,454.06 is: 17,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.13 : 10,454.06 = 10,454.06 : x
  2. Step 2: Convert to fraction form
    6,301.13/10,454.06 = 10,454.06/x
  3. Step 3: Cross multiply
    6,301.13x = 10,454.06 × 10,454.06
  4. Step 4: Simplify right side
    6,301.13x = 109,287,422.75
  5. Step 5: Solve for x
    x = 109,287,422.75/6,301.13
  6. Step 6: Final answer
    x = 17,344.11

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.