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Finding the Third Proportional to 49,842 and 74,043

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Solution

The third proportional to 49,842 and 74,043 is: 109,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842 : 74,043 = 74,043 : x
  2. Step 2: Convert to fraction form
    49,842/74,043 = 74,043/x
  3. Step 3: Cross multiply
    49,842x = 74,043 × 74,043
  4. Step 4: Simplify right side
    49,842x = 5,482,365,849
  5. Step 5: Solve for x
    x = 5,482,365,849/49,842
  6. Step 6: Final answer
    x = 109,994.90

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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.