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Finding the Third Proportional to 12,435.75 and 26,311.50

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Solution

The third proportional to 12,435.75 and 26,311.50 is: 55,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.75 : 26,311.50 = 26,311.50 : x
  2. Step 2: Convert to fraction form
    12,435.75/26,311.50 = 26,311.50/x
  3. Step 3: Cross multiply
    12,435.75x = 26,311.50 × 26,311.50
  4. Step 4: Simplify right side
    12,435.75x = 692,295,032.25
  5. Step 5: Solve for x
    x = 692,295,032.25/12,435.75
  6. Step 6: Final answer
    x = 55,669.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.