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Finding the Third Proportional to 20,242.50 and 47,277

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Solution

The third proportional to 20,242.50 and 47,277 is: 110,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.50 : 47,277 = 47,277 : x
  2. Step 2: Convert to fraction form
    20,242.50/47,277 = 47,277/x
  3. Step 3: Cross multiply
    20,242.50x = 47,277 × 47,277
  4. Step 4: Simplify right side
    20,242.50x = 2,235,114,729
  5. Step 5: Solve for x
    x = 2,235,114,729/20,242.50
  6. Step 6: Final answer
    x = 110,416.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.