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Finding the Third Proportional to 50,495.63 and 74,767.50

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Solution

The third proportional to 50,495.63 and 74,767.50 is: 110,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,495.63 : 74,767.50 = 74,767.50 : x
  2. Step 2: Convert to fraction form
    50,495.63/74,767.50 = 74,767.50/x
  3. Step 3: Cross multiply
    50,495.63x = 74,767.50 × 74,767.50
  4. Step 4: Simplify right side
    50,495.63x = 5,590,179,056.25
  5. Step 5: Solve for x
    x = 5,590,179,056.25/50,495.63
  6. Step 6: Final answer
    x = 110,706.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.