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Finding the Third Proportional to 23,106.66 and 47,307.94

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Solution

The third proportional to 23,106.66 and 47,307.94 is: 96,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.66 : 47,307.94 = 47,307.94 : x
  2. Step 2: Convert to fraction form
    23,106.66/47,307.94 = 47,307.94/x
  3. Step 3: Cross multiply
    23,106.66x = 47,307.94 × 47,307.94
  4. Step 4: Simplify right side
    23,106.66x = 2,238,040,950.50
  5. Step 5: Solve for x
    x = 2,238,040,950.50/23,106.66
  6. Step 6: Final answer
    x = 96,856.98

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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.