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Finding the Third Proportional to 9,413.44 and 19,607.06

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Solution

The third proportional to 9,413.44 and 19,607.06 is: 40,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.44 : 19,607.06 = 19,607.06 : x
  2. Step 2: Convert to fraction form
    9,413.44/19,607.06 = 19,607.06/x
  3. Step 3: Cross multiply
    9,413.44x = 19,607.06 × 19,607.06
  4. Step 4: Simplify right side
    9,413.44x = 384,436,899.88
  5. Step 5: Solve for x
    x = 384,436,899.88/9,413.44
  6. Step 6: Final answer
    x = 40,839.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.