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Finding the Third Proportional to 7,147.62 and 11,345.06

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Solution

The third proportional to 7,147.62 and 11,345.06 is: 18,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.62 : 11,345.06 = 11,345.06 : x
  2. Step 2: Convert to fraction form
    7,147.62/11,345.06 = 11,345.06/x
  3. Step 3: Cross multiply
    7,147.62x = 11,345.06 × 11,345.06
  4. Step 4: Simplify right side
    7,147.62x = 128,710,443.13
  5. Step 5: Solve for x
    x = 128,710,443.13/7,147.62
  6. Step 6: Final answer
    x = 18,007.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.