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Finding the Third Proportional to 48,644 and 73,017

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Solution

The third proportional to 48,644 and 73,017 is: 109,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,644 : 73,017 = 73,017 : x
  2. Step 2: Convert to fraction form
    48,644/73,017 = 73,017/x
  3. Step 3: Cross multiply
    48,644x = 73,017 × 73,017
  4. Step 4: Simplify right side
    48,644x = 5,331,482,289
  5. Step 5: Solve for x
    x = 5,331,482,289/48,644
  6. Step 6: Final answer
    x = 109,602.05

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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.