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Finding the Third Proportional to 9,544.13 and 13,746.19

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Solution

The third proportional to 9,544.13 and 13,746.19 is: 19,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.13 : 13,746.19 = 13,746.19 : x
  2. Step 2: Convert to fraction form
    9,544.13/13,746.19 = 13,746.19/x
  3. Step 3: Cross multiply
    9,544.13x = 13,746.19 × 13,746.19
  4. Step 4: Simplify right side
    9,544.13x = 188,957,670.79
  5. Step 5: Solve for x
    x = 188,957,670.79/9,544.13
  6. Step 6: Final answer
    x = 19,798.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.