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Finding the Third Proportional to 11,413.13 and 23,140.13

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Solution

The third proportional to 11,413.13 and 23,140.13 is: 46,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.13 : 23,140.13 = 23,140.13 : x
  2. Step 2: Convert to fraction form
    11,413.13/23,140.13 = 23,140.13/x
  3. Step 3: Cross multiply
    11,413.13x = 23,140.13 × 23,140.13
  4. Step 4: Simplify right side
    11,413.13x = 535,465,385.02
  5. Step 5: Solve for x
    x = 535,465,385.02/11,413.13
  6. Step 6: Final answer
    x = 46,916.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.