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Finding the Third Proportional to 30,983.63 and 49,242.94

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Solution

The third proportional to 30,983.63 and 49,242.94 is: 78,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.63 : 49,242.94 = 49,242.94 : x
  2. Step 2: Convert to fraction form
    30,983.63/49,242.94 = 49,242.94/x
  3. Step 3: Cross multiply
    30,983.63x = 49,242.94 × 49,242.94
  4. Step 4: Simplify right side
    30,983.63x = 2,424,866,893.63
  5. Step 5: Solve for x
    x = 2,424,866,893.63/30,983.63
  6. Step 6: Final answer
    x = 78,262.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.