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Finding the Third Proportional to 48,319 and 68,043

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Solution

The third proportional to 48,319 and 68,043 is: 95,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,319 : 68,043 = 68,043 : x
  2. Step 2: Convert to fraction form
    48,319/68,043 = 68,043/x
  3. Step 3: Cross multiply
    48,319x = 68,043 × 68,043
  4. Step 4: Simplify right side
    48,319x = 4,629,849,849
  5. Step 5: Solve for x
    x = 4,629,849,849/48,319
  6. Step 6: Final answer
    x = 95,818.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.