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Finding the Third Proportional to 12,500.50 and 26,406.50

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Solution

The third proportional to 12,500.50 and 26,406.50 is: 55,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500.50 : 26,406.50 = 26,406.50 : x
  2. Step 2: Convert to fraction form
    12,500.50/26,406.50 = 26,406.50/x
  3. Step 3: Cross multiply
    12,500.50x = 26,406.50 × 26,406.50
  4. Step 4: Simplify right side
    12,500.50x = 697,303,242.25
  5. Step 5: Solve for x
    x = 697,303,242.25/12,500.50
  6. Step 6: Final answer
    x = 55,782.03

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.