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Finding the Third Proportional to 48,441 and 65,097

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Solution

The third proportional to 48,441 and 65,097 is: 87,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,441 : 65,097 = 65,097 : x
  2. Step 2: Convert to fraction form
    48,441/65,097 = 65,097/x
  3. Step 3: Cross multiply
    48,441x = 65,097 × 65,097
  4. Step 4: Simplify right side
    48,441x = 4,237,619,409
  5. Step 5: Solve for x
    x = 4,237,619,409/48,441
  6. Step 6: Final answer
    x = 87,480.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.