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Finding the Third Proportional to 27,070.13 and 41,661.75

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Solution

The third proportional to 27,070.13 and 41,661.75 is: 64,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070.13 : 41,661.75 = 41,661.75 : x
  2. Step 2: Convert to fraction form
    27,070.13/41,661.75 = 41,661.75/x
  3. Step 3: Cross multiply
    27,070.13x = 41,661.75 × 41,661.75
  4. Step 4: Simplify right side
    27,070.13x = 1,735,701,413.06
  5. Step 5: Solve for x
    x = 1,735,701,413.06/27,070.13
  6. Step 6: Final answer
    x = 64,118.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.