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Finding the Third Proportional to 29,751.75 and 49,011.75

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Solution

The third proportional to 29,751.75 and 49,011.75 is: 80,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,751.75 : 49,011.75 = 49,011.75 : x
  2. Step 2: Convert to fraction form
    29,751.75/49,011.75 = 49,011.75/x
  3. Step 3: Cross multiply
    29,751.75x = 49,011.75 × 49,011.75
  4. Step 4: Simplify right side
    29,751.75x = 2,402,151,638.06
  5. Step 5: Solve for x
    x = 2,402,151,638.06/29,751.75
  6. Step 6: Final answer
    x = 80,739.84

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.