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Finding the Third Proportional to 48,006 and 71,509

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Solution

The third proportional to 48,006 and 71,509 is: 106,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,006 : 71,509 = 71,509 : x
  2. Step 2: Convert to fraction form
    48,006/71,509 = 71,509/x
  3. Step 3: Cross multiply
    48,006x = 71,509 × 71,509
  4. Step 4: Simplify right side
    48,006x = 5,113,537,081
  5. Step 5: Solve for x
    x = 5,113,537,081/48,006
  6. Step 6: Final answer
    x = 106,518.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.