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Finding the Third Proportional to 19,762.31 and 46,650.09

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Solution

The third proportional to 19,762.31 and 46,650.09 is: 110,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.31 : 46,650.09 = 46,650.09 : x
  2. Step 2: Convert to fraction form
    19,762.31/46,650.09 = 46,650.09/x
  3. Step 3: Cross multiply
    19,762.31x = 46,650.09 × 46,650.09
  4. Step 4: Simplify right side
    19,762.31x = 2,176,231,246.88
  5. Step 5: Solve for x
    x = 2,176,231,246.88/19,762.31
  6. Step 6: Final answer
    x = 110,120.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.