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Finding the Third Proportional to 24,636 and 53,581

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Solution

The third proportional to 24,636 and 53,581 is: 116,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,636 : 53,581 = 53,581 : x
  2. Step 2: Convert to fraction form
    24,636/53,581 = 53,581/x
  3. Step 3: Cross multiply
    24,636x = 53,581 × 53,581
  4. Step 4: Simplify right side
    24,636x = 2,870,923,561
  5. Step 5: Solve for x
    x = 2,870,923,561/24,636
  6. Step 6: Final answer
    x = 116,533.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.