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Finding the Third Proportional to 8,237.95 and 9,023.91

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Solution

The third proportional to 8,237.95 and 9,023.91 is: 9,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.95 : 9,023.91 = 9,023.91 : x
  2. Step 2: Convert to fraction form
    8,237.95/9,023.91 = 9,023.91/x
  3. Step 3: Cross multiply
    8,237.95x = 9,023.91 × 9,023.91
  4. Step 4: Simplify right side
    8,237.95x = 81,430,884.01
  5. Step 5: Solve for x
    x = 81,430,884.01/8,237.95
  6. Step 6: Final answer
    x = 9,884.84

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.