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Finding the Third Proportional to 48,709 and 73,590

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Solution

The third proportional to 48,709 and 73,590 is: 111,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709 : 73,590 = 73,590 : x
  2. Step 2: Convert to fraction form
    48,709/73,590 = 73,590/x
  3. Step 3: Cross multiply
    48,709x = 73,590 × 73,590
  4. Step 4: Simplify right side
    48,709x = 5,415,488,100
  5. Step 5: Solve for x
    x = 5,415,488,100/48,709
  6. Step 6: Final answer
    x = 111,180.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.