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Finding the Third Proportional to 26,582 and 57,050

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Solution

The third proportional to 26,582 and 57,050 is: 122,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582 : 57,050 = 57,050 : x
  2. Step 2: Convert to fraction form
    26,582/57,050 = 57,050/x
  3. Step 3: Cross multiply
    26,582x = 57,050 × 57,050
  4. Step 4: Simplify right side
    26,582x = 3,254,702,500
  5. Step 5: Solve for x
    x = 3,254,702,500/26,582
  6. Step 6: Final answer
    x = 122,440.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.