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Finding the Third Proportional to 27,480 and 56,413.50

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Solution

The third proportional to 27,480 and 56,413.50 is: 115,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480 : 56,413.50 = 56,413.50 : x
  2. Step 2: Convert to fraction form
    27,480/56,413.50 = 56,413.50/x
  3. Step 3: Cross multiply
    27,480x = 56,413.50 × 56,413.50
  4. Step 4: Simplify right side
    27,480x = 3,182,482,982.25
  5. Step 5: Solve for x
    x = 3,182,482,982.25/27,480
  6. Step 6: Final answer
    x = 115,810.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.