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Finding the Third Proportional to 4,101.50 and 9,023.50

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Solution

The third proportional to 4,101.50 and 9,023.50 is: 19,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.50 : 9,023.50 = 9,023.50 : x
  2. Step 2: Convert to fraction form
    4,101.50/9,023.50 = 9,023.50/x
  3. Step 3: Cross multiply
    4,101.50x = 9,023.50 × 9,023.50
  4. Step 4: Simplify right side
    4,101.50x = 81,423,552.25
  5. Step 5: Solve for x
    x = 81,423,552.25/4,101.50
  6. Step 6: Final answer
    x = 19,852.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.