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Finding the Third Proportional to 16,536 and 24,484.50

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Solution

The third proportional to 16,536 and 24,484.50 is: 36,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536 : 24,484.50 = 24,484.50 : x
  2. Step 2: Convert to fraction form
    16,536/24,484.50 = 24,484.50/x
  3. Step 3: Cross multiply
    16,536x = 24,484.50 × 24,484.50
  4. Step 4: Simplify right side
    16,536x = 599,490,740.25
  5. Step 5: Solve for x
    x = 599,490,740.25/16,536
  6. Step 6: Final answer
    x = 36,253.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.