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Finding the Third Proportional to 30,650.63 and 46,866.94

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Solution

The third proportional to 30,650.63 and 46,866.94 is: 71,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.63 : 46,866.94 = 46,866.94 : x
  2. Step 2: Convert to fraction form
    30,650.63/46,866.94 = 46,866.94/x
  3. Step 3: Cross multiply
    30,650.63x = 46,866.94 × 46,866.94
  4. Step 4: Simplify right side
    30,650.63x = 2,196,509,830.63
  5. Step 5: Solve for x
    x = 2,196,509,830.63/30,650.63
  6. Step 6: Final answer
    x = 71,662.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.