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Finding the Third Proportional to 20,038.50 and 26,880.75

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Solution

The third proportional to 20,038.50 and 26,880.75 is: 36,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.50 : 26,880.75 = 26,880.75 : x
  2. Step 2: Convert to fraction form
    20,038.50/26,880.75 = 26,880.75/x
  3. Step 3: Cross multiply
    20,038.50x = 26,880.75 × 26,880.75
  4. Step 4: Simplify right side
    20,038.50x = 722,574,720.56
  5. Step 5: Solve for x
    x = 722,574,720.56/20,038.50
  6. Step 6: Final answer
    x = 36,059.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.