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Finding the Third Proportional to 35,704.55 and 84,590.58

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Solution

The third proportional to 35,704.55 and 84,590.58 is: 200,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.55 : 84,590.58 = 84,590.58 : x
  2. Step 2: Convert to fraction form
    35,704.55/84,590.58 = 84,590.58/x
  3. Step 3: Cross multiply
    35,704.55x = 84,590.58 × 84,590.58
  4. Step 4: Simplify right side
    35,704.55x = 7,155,565,907.52
  5. Step 5: Solve for x
    x = 7,155,565,907.52/35,704.55
  6. Step 6: Final answer
    x = 200,410.49

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.