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Finding the Third Proportional to 25,537.50 and 55,773

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Solution

The third proportional to 25,537.50 and 55,773 is: 121,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.50 : 55,773 = 55,773 : x
  2. Step 2: Convert to fraction form
    25,537.50/55,773 = 55,773/x
  3. Step 3: Cross multiply
    25,537.50x = 55,773 × 55,773
  4. Step 4: Simplify right side
    25,537.50x = 3,110,627,529
  5. Step 5: Solve for x
    x = 3,110,627,529/25,537.50
  6. Step 6: Final answer
    x = 121,806.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.