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Finding the Third Proportional to 52,597.69 and 74,202.75

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Solution

The third proportional to 52,597.69 and 74,202.75 is: 104,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597.69 : 74,202.75 = 74,202.75 : x
  2. Step 2: Convert to fraction form
    52,597.69/74,202.75 = 74,202.75/x
  3. Step 3: Cross multiply
    52,597.69x = 74,202.75 × 74,202.75
  4. Step 4: Simplify right side
    52,597.69x = 5,506,048,107.56
  5. Step 5: Solve for x
    x = 5,506,048,107.56/52,597.69
  6. Step 6: Final answer
    x = 104,682.32

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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.