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Finding the Third Proportional to 47,483.50 and 101,323

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Solution

The third proportional to 47,483.50 and 101,323 is: 216,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,483.50 : 101,323 = 101,323 : x
  2. Step 2: Convert to fraction form
    47,483.50/101,323 = 101,323/x
  3. Step 3: Cross multiply
    47,483.50x = 101,323 × 101,323
  4. Step 4: Simplify right side
    47,483.50x = 10,266,350,329
  5. Step 5: Solve for x
    x = 10,266,350,329/47,483.50
  6. Step 6: Final answer
    x = 216,208.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.