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Finding the Third Proportional to 13,663.50 and 29,733

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Solution

The third proportional to 13,663.50 and 29,733 is: 64,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.50 : 29,733 = 29,733 : x
  2. Step 2: Convert to fraction form
    13,663.50/29,733 = 29,733/x
  3. Step 3: Cross multiply
    13,663.50x = 29,733 × 29,733
  4. Step 4: Simplify right side
    13,663.50x = 884,051,289
  5. Step 5: Solve for x
    x = 884,051,289/13,663.50
  6. Step 6: Final answer
    x = 64,701.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.