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Finding the Third Proportional to 4,816.83 and 10,509.45

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Solution

The third proportional to 4,816.83 and 10,509.45 is: 22,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.83 : 10,509.45 = 10,509.45 : x
  2. Step 2: Convert to fraction form
    4,816.83/10,509.45 = 10,509.45/x
  3. Step 3: Cross multiply
    4,816.83x = 10,509.45 × 10,509.45
  4. Step 4: Simplify right side
    4,816.83x = 110,448,610.12
  5. Step 5: Solve for x
    x = 110,448,610.12/4,816.83
  6. Step 6: Final answer
    x = 22,929.72

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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.