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Finding the Third Proportional to 25,852 and 57,550

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Solution

The third proportional to 25,852 and 57,550 is: 128,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852 : 57,550 = 57,550 : x
  2. Step 2: Convert to fraction form
    25,852/57,550 = 57,550/x
  3. Step 3: Cross multiply
    25,852x = 57,550 × 57,550
  4. Step 4: Simplify right side
    25,852x = 3,312,002,500
  5. Step 5: Solve for x
    x = 3,312,002,500/25,852
  6. Step 6: Final answer
    x = 128,113.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.