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Finding the Third Proportional to 48,012 and 71,518

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Solution

The third proportional to 48,012 and 71,518 is: 106,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,012 : 71,518 = 71,518 : x
  2. Step 2: Convert to fraction form
    48,012/71,518 = 71,518/x
  3. Step 3: Cross multiply
    48,012x = 71,518 × 71,518
  4. Step 4: Simplify right side
    48,012x = 5,114,824,324
  5. Step 5: Solve for x
    x = 5,114,824,324/48,012
  6. Step 6: Final answer
    x = 106,532.21

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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.