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Finding the Third Proportional to 47,730.50 and 94,257

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Solution

The third proportional to 47,730.50 and 94,257 is: 186,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730.50 : 94,257 = 94,257 : x
  2. Step 2: Convert to fraction form
    47,730.50/94,257 = 94,257/x
  3. Step 3: Cross multiply
    47,730.50x = 94,257 × 94,257
  4. Step 4: Simplify right side
    47,730.50x = 8,884,382,049
  5. Step 5: Solve for x
    x = 8,884,382,049/47,730.50
  6. Step 6: Final answer
    x = 186,136.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.