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Finding the Third Proportional to 4,823.51 and 10,512.07

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Solution

The third proportional to 4,823.51 and 10,512.07 is: 22,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.51 : 10,512.07 = 10,512.07 : x
  2. Step 2: Convert to fraction form
    4,823.51/10,512.07 = 10,512.07/x
  3. Step 3: Cross multiply
    4,823.51x = 10,512.07 × 10,512.07
  4. Step 4: Simplify right side
    4,823.51x = 110,503,622.25
  5. Step 5: Solve for x
    x = 110,503,622.25/4,823.51
  6. Step 6: Final answer
    x = 22,909.39

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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.