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Finding the Third Proportional to 24,633 and 53,154

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Solution

The third proportional to 24,633 and 53,154 is: 114,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633 : 53,154 = 53,154 : x
  2. Step 2: Convert to fraction form
    24,633/53,154 = 53,154/x
  3. Step 3: Cross multiply
    24,633x = 53,154 × 53,154
  4. Step 4: Simplify right side
    24,633x = 2,825,347,716
  5. Step 5: Solve for x
    x = 2,825,347,716/24,633
  6. Step 6: Final answer
    x = 114,697.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.