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Finding the Third Proportional to 7,103.53 and 11,143.83

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Solution

The third proportional to 7,103.53 and 11,143.83 is: 17,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.53 : 11,143.83 = 11,143.83 : x
  2. Step 2: Convert to fraction form
    7,103.53/11,143.83 = 11,143.83/x
  3. Step 3: Cross multiply
    7,103.53x = 11,143.83 × 11,143.83
  4. Step 4: Simplify right side
    7,103.53x = 124,184,905.28
  5. Step 5: Solve for x
    x = 124,184,905.28/7,103.53
  6. Step 6: Final answer
    x = 17,482.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.