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Finding the Third Proportional to 35,457.75 and 53,923.50

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Solution

The third proportional to 35,457.75 and 53,923.50 is: 82,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,457.75 : 53,923.50 = 53,923.50 : x
  2. Step 2: Convert to fraction form
    35,457.75/53,923.50 = 53,923.50/x
  3. Step 3: Cross multiply
    35,457.75x = 53,923.50 × 53,923.50
  4. Step 4: Simplify right side
    35,457.75x = 2,907,743,852.25
  5. Step 5: Solve for x
    x = 2,907,743,852.25/35,457.75
  6. Step 6: Final answer
    x = 82,005.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.