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Finding the Third Proportional to 38,506 and 48,200.75

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Solution

The third proportional to 38,506 and 48,200.75 is: 60,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506 : 48,200.75 = 48,200.75 : x
  2. Step 2: Convert to fraction form
    38,506/48,200.75 = 48,200.75/x
  3. Step 3: Cross multiply
    38,506x = 48,200.75 × 48,200.75
  4. Step 4: Simplify right side
    38,506x = 2,323,312,300.56
  5. Step 5: Solve for x
    x = 2,323,312,300.56/38,506
  6. Step 6: Final answer
    x = 60,336.37

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.