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Finding the Third Proportional to 48,926.53 and 74,969.30

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Solution

The third proportional to 48,926.53 and 74,969.30 is: 114,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,926.53 : 74,969.30 = 74,969.30 : x
  2. Step 2: Convert to fraction form
    48,926.53/74,969.30 = 74,969.30/x
  3. Step 3: Cross multiply
    48,926.53x = 74,969.30 × 74,969.30
  4. Step 4: Simplify right side
    48,926.53x = 5,620,395,473.93
  5. Step 5: Solve for x
    x = 5,620,395,473.93/48,926.53
  6. Step 6: Final answer
    x = 114,874.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.