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Finding the Third Proportional to 48,684 and 73,080

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Solution

The third proportional to 48,684 and 73,080 is: 109,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684 : 73,080 = 73,080 : x
  2. Step 2: Convert to fraction form
    48,684/73,080 = 73,080/x
  3. Step 3: Cross multiply
    48,684x = 73,080 × 73,080
  4. Step 4: Simplify right side
    48,684x = 5,340,686,400
  5. Step 5: Solve for x
    x = 5,340,686,400/48,684
  6. Step 6: Final answer
    x = 109,701.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.