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Finding the Third Proportional to 4,775.25 and 10,281.75

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Solution

The third proportional to 4,775.25 and 10,281.75 is: 22,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.25 : 10,281.75 = 10,281.75 : x
  2. Step 2: Convert to fraction form
    4,775.25/10,281.75 = 10,281.75/x
  3. Step 3: Cross multiply
    4,775.25x = 10,281.75 × 10,281.75
  4. Step 4: Simplify right side
    4,775.25x = 105,714,383.06
  5. Step 5: Solve for x
    x = 105,714,383.06/4,775.25
  6. Step 6: Final answer
    x = 22,137.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.