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Finding the Third Proportional to 25,865 and 39,550

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Solution

The third proportional to 25,865 and 39,550 is: 60,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865 : 39,550 = 39,550 : x
  2. Step 2: Convert to fraction form
    25,865/39,550 = 39,550/x
  3. Step 3: Cross multiply
    25,865x = 39,550 × 39,550
  4. Step 4: Simplify right side
    25,865x = 1,564,202,500
  5. Step 5: Solve for x
    x = 1,564,202,500/25,865
  6. Step 6: Final answer
    x = 60,475.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.