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Finding the Third Proportional to 1,413.07 and 3,064.08

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Solution

The third proportional to 1,413.07 and 3,064.08 is: 6,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.07 : 3,064.08 = 3,064.08 : x
  2. Step 2: Convert to fraction form
    1,413.07/3,064.08 = 3,064.08/x
  3. Step 3: Cross multiply
    1,413.07x = 3,064.08 × 3,064.08
  4. Step 4: Simplify right side
    1,413.07x = 9,388,574.76
  5. Step 5: Solve for x
    x = 9,388,574.76/1,413.07
  6. Step 6: Final answer
    x = 6,644.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.