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Finding the Third Proportional to 4,724.58 and 10,254.09

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Solution

The third proportional to 4,724.58 and 10,254.09 is: 22,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.58 : 10,254.09 = 10,254.09 : x
  2. Step 2: Convert to fraction form
    4,724.58/10,254.09 = 10,254.09/x
  3. Step 3: Cross multiply
    4,724.58x = 10,254.09 × 10,254.09
  4. Step 4: Simplify right side
    4,724.58x = 105,146,438.63
  5. Step 5: Solve for x
    x = 105,146,438.63/4,724.58
  6. Step 6: Final answer
    x = 22,255.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.