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Finding the Third Proportional to 21,519 and 46,291.50

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Solution

The third proportional to 21,519 and 46,291.50 is: 99,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519 : 46,291.50 = 46,291.50 : x
  2. Step 2: Convert to fraction form
    21,519/46,291.50 = 46,291.50/x
  3. Step 3: Cross multiply
    21,519x = 46,291.50 × 46,291.50
  4. Step 4: Simplify right side
    21,519x = 2,142,902,972.25
  5. Step 5: Solve for x
    x = 2,142,902,972.25/21,519
  6. Step 6: Final answer
    x = 99,581.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.