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Finding the Third Proportional to 52,442.44 and 66,301.03

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Solution

The third proportional to 52,442.44 and 66,301.03 is: 83,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,442.44 : 66,301.03 = 66,301.03 : x
  2. Step 2: Convert to fraction form
    52,442.44/66,301.03 = 66,301.03/x
  3. Step 3: Cross multiply
    52,442.44x = 66,301.03 × 66,301.03
  4. Step 4: Simplify right side
    52,442.44x = 4,395,826,744.81
  5. Step 5: Solve for x
    x = 4,395,826,744.81/52,442.44
  6. Step 6: Final answer
    x = 83,821.94

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.