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Finding the Third Proportional to 48,467.50 and 65,468

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Solution

The third proportional to 48,467.50 and 65,468 is: 88,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,467.50 : 65,468 = 65,468 : x
  2. Step 2: Convert to fraction form
    48,467.50/65,468 = 65,468/x
  3. Step 3: Cross multiply
    48,467.50x = 65,468 × 65,468
  4. Step 4: Simplify right side
    48,467.50x = 4,286,059,024
  5. Step 5: Solve for x
    x = 4,286,059,024/48,467.50
  6. Step 6: Final answer
    x = 88,431.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.