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Finding the Third Proportional to 21,148 and 45,942.50

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Solution

The third proportional to 21,148 and 45,942.50 is: 99,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148 : 45,942.50 = 45,942.50 : x
  2. Step 2: Convert to fraction form
    21,148/45,942.50 = 45,942.50/x
  3. Step 3: Cross multiply
    21,148x = 45,942.50 × 45,942.50
  4. Step 4: Simplify right side
    21,148x = 2,110,713,306.25
  5. Step 5: Solve for x
    x = 2,110,713,306.25/21,148
  6. Step 6: Final answer
    x = 99,806.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.