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Finding the Third Proportional to 7,023.94 and 9,880.41

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Solution

The third proportional to 7,023.94 and 9,880.41 is: 13,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.94 : 9,880.41 = 9,880.41 : x
  2. Step 2: Convert to fraction form
    7,023.94/9,880.41 = 9,880.41/x
  3. Step 3: Cross multiply
    7,023.94x = 9,880.41 × 9,880.41
  4. Step 4: Simplify right side
    7,023.94x = 97,622,427.67
  5. Step 5: Solve for x
    x = 97,622,427.67/7,023.94
  6. Step 6: Final answer
    x = 13,898.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.