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Finding the Third Proportional to 46,836 and 71,217

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Solution

The third proportional to 46,836 and 71,217 is: 108,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,836 : 71,217 = 71,217 : x
  2. Step 2: Convert to fraction form
    46,836/71,217 = 71,217/x
  3. Step 3: Cross multiply
    46,836x = 71,217 × 71,217
  4. Step 4: Simplify right side
    46,836x = 5,071,861,089
  5. Step 5: Solve for x
    x = 5,071,861,089/46,836
  6. Step 6: Final answer
    x = 108,289.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.