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Finding the Third Proportional to 24,621 and 52,315.50

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Solution

The third proportional to 24,621 and 52,315.50 is: 111,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,621 : 52,315.50 = 52,315.50 : x
  2. Step 2: Convert to fraction form
    24,621/52,315.50 = 52,315.50/x
  3. Step 3: Cross multiply
    24,621x = 52,315.50 × 52,315.50
  4. Step 4: Simplify right side
    24,621x = 2,736,911,540.25
  5. Step 5: Solve for x
    x = 2,736,911,540.25/24,621
  6. Step 6: Final answer
    x = 111,161.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.