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Finding the Third Proportional to 2,259.35 and 4,865.64

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Solution

The third proportional to 2,259.35 and 4,865.64 is: 10,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.35 : 4,865.64 = 4,865.64 : x
  2. Step 2: Convert to fraction form
    2,259.35/4,865.64 = 4,865.64/x
  3. Step 3: Cross multiply
    2,259.35x = 4,865.64 × 4,865.64
  4. Step 4: Simplify right side
    2,259.35x = 23,674,477.70
  5. Step 5: Solve for x
    x = 23,674,477.70/2,259.35
  6. Step 6: Final answer
    x = 10,478.44

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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.