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Finding the Third Proportional to 4,023.19 and 8,828.63

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Solution

The third proportional to 4,023.19 and 8,828.63 is: 19,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.19 : 8,828.63 = 8,828.63 : x
  2. Step 2: Convert to fraction form
    4,023.19/8,828.63 = 8,828.63/x
  3. Step 3: Cross multiply
    4,023.19x = 8,828.63 × 8,828.63
  4. Step 4: Simplify right side
    4,023.19x = 77,944,619.39
  5. Step 5: Solve for x
    x = 77,944,619.39/4,023.19
  6. Step 6: Final answer
    x = 19,373.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.