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Finding the Third Proportional to 13,162.50 and 24,424.03

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Solution

The third proportional to 13,162.50 and 24,424.03 is: 45,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.50 : 24,424.03 = 24,424.03 : x
  2. Step 2: Convert to fraction form
    13,162.50/24,424.03 = 24,424.03/x
  3. Step 3: Cross multiply
    13,162.50x = 24,424.03 × 24,424.03
  4. Step 4: Simplify right side
    13,162.50x = 596,533,302.50
  5. Step 5: Solve for x
    x = 596,533,302.50/13,162.50
  6. Step 6: Final answer
    x = 45,320.67

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.