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Finding the Third Proportional to 19,113 and 44,971.50

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Solution

The third proportional to 19,113 and 44,971.50 is: 105,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,113 : 44,971.50 = 44,971.50 : x
  2. Step 2: Convert to fraction form
    19,113/44,971.50 = 44,971.50/x
  3. Step 3: Cross multiply
    19,113x = 44,971.50 × 44,971.50
  4. Step 4: Simplify right side
    19,113x = 2,022,435,812.25
  5. Step 5: Solve for x
    x = 2,022,435,812.25/19,113
  6. Step 6: Final answer
    x = 105,814.67

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.