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Finding the Third Proportional to 46,234.55 and 68,924.67

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Solution

The third proportional to 46,234.55 and 68,924.67 is: 102,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,234.55 : 68,924.67 = 68,924.67 : x
  2. Step 2: Convert to fraction form
    46,234.55/68,924.67 = 68,924.67/x
  3. Step 3: Cross multiply
    46,234.55x = 68,924.67 × 68,924.67
  4. Step 4: Simplify right side
    46,234.55x = 4,750,610,393.08
  5. Step 5: Solve for x
    x = 4,750,610,393.08/46,234.55
  6. Step 6: Final answer
    x = 102,750.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.