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Finding the Third Proportional to 4,782.50 and 10,483

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Solution

The third proportional to 4,782.50 and 10,483 is: 22,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.50 : 10,483 = 10,483 : x
  2. Step 2: Convert to fraction form
    4,782.50/10,483 = 10,483/x
  3. Step 3: Cross multiply
    4,782.50x = 10,483 × 10,483
  4. Step 4: Simplify right side
    4,782.50x = 109,893,289
  5. Step 5: Solve for x
    x = 109,893,289/4,782.50
  6. Step 6: Final answer
    x = 22,978.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.