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Finding the Third Proportional to 25,280.50 and 38,269

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Solution

The third proportional to 25,280.50 and 38,269 is: 57,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.50 : 38,269 = 38,269 : x
  2. Step 2: Convert to fraction form
    25,280.50/38,269 = 38,269/x
  3. Step 3: Cross multiply
    25,280.50x = 38,269 × 38,269
  4. Step 4: Simplify right side
    25,280.50x = 1,464,516,361
  5. Step 5: Solve for x
    x = 1,464,516,361/25,280.50
  6. Step 6: Final answer
    x = 57,930.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.