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Finding the Third Proportional to 27,427.50 and 41,526

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Solution

The third proportional to 27,427.50 and 41,526 is: 62,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.50 : 41,526 = 41,526 : x
  2. Step 2: Convert to fraction form
    27,427.50/41,526 = 41,526/x
  3. Step 3: Cross multiply
    27,427.50x = 41,526 × 41,526
  4. Step 4: Simplify right side
    27,427.50x = 1,724,408,676
  5. Step 5: Solve for x
    x = 1,724,408,676/27,427.50
  6. Step 6: Final answer
    x = 62,871.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.