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Finding the Third Proportional to 23,179.50 and 47,460.94

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Solution

The third proportional to 23,179.50 and 47,460.94 is: 97,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.50 : 47,460.94 = 47,460.94 : x
  2. Step 2: Convert to fraction form
    23,179.50/47,460.94 = 47,460.94/x
  3. Step 3: Cross multiply
    23,179.50x = 47,460.94 × 47,460.94
  4. Step 4: Simplify right side
    23,179.50x = 2,252,540,588.38
  5. Step 5: Solve for x
    x = 2,252,540,588.38/23,179.50
  6. Step 6: Final answer
    x = 97,178.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.