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Finding the Third Proportional to 4,643.58 and 10,107.28

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Solution

The third proportional to 4,643.58 and 10,107.28 is: 21,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.58 : 10,107.28 = 10,107.28 : x
  2. Step 2: Convert to fraction form
    4,643.58/10,107.28 = 10,107.28/x
  3. Step 3: Cross multiply
    4,643.58x = 10,107.28 × 10,107.28
  4. Step 4: Simplify right side
    4,643.58x = 102,157,134.27
  5. Step 5: Solve for x
    x = 102,157,134.27/4,643.58
  6. Step 6: Final answer
    x = 21,999.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.