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Finding the Third Proportional to 21,371 and 46,504.50

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Solution

The third proportional to 21,371 and 46,504.50 is: 101,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,371 : 46,504.50 = 46,504.50 : x
  2. Step 2: Convert to fraction form
    21,371/46,504.50 = 46,504.50/x
  3. Step 3: Cross multiply
    21,371x = 46,504.50 × 46,504.50
  4. Step 4: Simplify right side
    21,371x = 2,162,668,520.25
  5. Step 5: Solve for x
    x = 2,162,668,520.25/21,371
  6. Step 6: Final answer
    x = 101,196.41

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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.