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Finding the Third Proportional to 21,233 and 46,749.50

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Solution

The third proportional to 21,233 and 46,749.50 is: 102,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233 : 46,749.50 = 46,749.50 : x
  2. Step 2: Convert to fraction form
    21,233/46,749.50 = 46,749.50/x
  3. Step 3: Cross multiply
    21,233x = 46,749.50 × 46,749.50
  4. Step 4: Simplify right side
    21,233x = 2,185,515,750.25
  5. Step 5: Solve for x
    x = 2,185,515,750.25/21,233
  6. Step 6: Final answer
    x = 102,930.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.