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Finding the Third Proportional to 21,895.50 and 46,833

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Solution

The third proportional to 21,895.50 and 46,833 is: 100,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.50 : 46,833 = 46,833 : x
  2. Step 2: Convert to fraction form
    21,895.50/46,833 = 46,833/x
  3. Step 3: Cross multiply
    21,895.50x = 46,833 × 46,833
  4. Step 4: Simplify right side
    21,895.50x = 2,193,329,889
  5. Step 5: Solve for x
    x = 2,193,329,889/21,895.50
  6. Step 6: Final answer
    x = 100,172.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.