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Finding the Third Proportional to 46,022.50 and 94,981

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Solution

The third proportional to 46,022.50 and 94,981 is: 196,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022.50 : 94,981 = 94,981 : x
  2. Step 2: Convert to fraction form
    46,022.50/94,981 = 94,981/x
  3. Step 3: Cross multiply
    46,022.50x = 94,981 × 94,981
  4. Step 4: Simplify right side
    46,022.50x = 9,021,390,361
  5. Step 5: Solve for x
    x = 9,021,390,361/46,022.50
  6. Step 6: Final answer
    x = 196,021.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.