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Finding the Third Proportional to 47,533.50 and 103,344

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Solution

The third proportional to 47,533.50 and 103,344 is: 224,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,533.50 : 103,344 = 103,344 : x
  2. Step 2: Convert to fraction form
    47,533.50/103,344 = 103,344/x
  3. Step 3: Cross multiply
    47,533.50x = 103,344 × 103,344
  4. Step 4: Simplify right side
    47,533.50x = 10,679,982,336
  5. Step 5: Solve for x
    x = 10,679,982,336/47,533.50
  6. Step 6: Final answer
    x = 224,683.27

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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.