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Finding the Third Proportional to 12,263.50 and 26,489.75

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Solution

The third proportional to 12,263.50 and 26,489.75 is: 57,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.50 : 26,489.75 = 26,489.75 : x
  2. Step 2: Convert to fraction form
    12,263.50/26,489.75 = 26,489.75/x
  3. Step 3: Cross multiply
    12,263.50x = 26,489.75 × 26,489.75
  4. Step 4: Simplify right side
    12,263.50x = 701,706,855.06
  5. Step 5: Solve for x
    x = 701,706,855.06/12,263.50
  6. Step 6: Final answer
    x = 57,219.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.