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Finding the Third Proportional to 27,506 and 61,925

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Solution

The third proportional to 27,506 and 61,925 is: 139,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506 : 61,925 = 61,925 : x
  2. Step 2: Convert to fraction form
    27,506/61,925 = 61,925/x
  3. Step 3: Cross multiply
    27,506x = 61,925 × 61,925
  4. Step 4: Simplify right side
    27,506x = 3,834,705,625
  5. Step 5: Solve for x
    x = 3,834,705,625/27,506
  6. Step 6: Final answer
    x = 139,413.42

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.