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Finding the Third Proportional to 27,559.50 and 41,261

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Solution

The third proportional to 27,559.50 and 41,261 is: 61,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.50 : 41,261 = 41,261 : x
  2. Step 2: Convert to fraction form
    27,559.50/41,261 = 41,261/x
  3. Step 3: Cross multiply
    27,559.50x = 41,261 × 41,261
  4. Step 4: Simplify right side
    27,559.50x = 1,702,470,121
  5. Step 5: Solve for x
    x = 1,702,470,121/27,559.50
  6. Step 6: Final answer
    x = 61,774.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.