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Finding the Third Proportional to 4,964.63 and 10,735.88

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Solution

The third proportional to 4,964.63 and 10,735.88 is: 23,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.63 : 10,735.88 = 10,735.88 : x
  2. Step 2: Convert to fraction form
    4,964.63/10,735.88 = 10,735.88/x
  3. Step 3: Cross multiply
    4,964.63x = 10,735.88 × 10,735.88
  4. Step 4: Simplify right side
    4,964.63x = 115,259,012.02
  5. Step 5: Solve for x
    x = 115,259,012.02/4,964.63
  6. Step 6: Final answer
    x = 23,216.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.