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Finding the Third Proportional to 25,852 and 56,790

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Solution

The third proportional to 25,852 and 56,790 is: 124,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852 : 56,790 = 56,790 : x
  2. Step 2: Convert to fraction form
    25,852/56,790 = 56,790/x
  3. Step 3: Cross multiply
    25,852x = 56,790 × 56,790
  4. Step 4: Simplify right side
    25,852x = 3,225,104,100
  5. Step 5: Solve for x
    x = 3,225,104,100/25,852
  6. Step 6: Final answer
    x = 124,752.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.