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Finding the Third Proportional to 1,570.13 and 3,413.34

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Solution

The third proportional to 1,570.13 and 3,413.34 is: 7,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.13 : 3,413.34 = 3,413.34 : x
  2. Step 2: Convert to fraction form
    1,570.13/3,413.34 = 3,413.34/x
  3. Step 3: Cross multiply
    1,570.13x = 3,413.34 × 3,413.34
  4. Step 4: Simplify right side
    1,570.13x = 11,650,915.56
  5. Step 5: Solve for x
    x = 11,650,915.56/1,570.13
  6. Step 6: Final answer
    x = 7,420.37

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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.