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Finding the Third Proportional to 39,450 and 53,154

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Solution

The third proportional to 39,450 and 53,154 is: 71,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,450 : 53,154 = 53,154 : x
  2. Step 2: Convert to fraction form
    39,450/53,154 = 53,154/x
  3. Step 3: Cross multiply
    39,450x = 53,154 × 53,154
  4. Step 4: Simplify right side
    39,450x = 2,825,347,716
  5. Step 5: Solve for x
    x = 2,825,347,716/39,450
  6. Step 6: Final answer
    x = 71,618.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.