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Finding the Third Proportional to 42,813.80 and 65,230.55

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Solution

The third proportional to 42,813.80 and 65,230.55 is: 99,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,813.80 : 65,230.55 = 65,230.55 : x
  2. Step 2: Convert to fraction form
    42,813.80/65,230.55 = 65,230.55/x
  3. Step 3: Cross multiply
    42,813.80x = 65,230.55 × 65,230.55
  4. Step 4: Simplify right side
    42,813.80x = 4,255,024,627.82
  5. Step 5: Solve for x
    x = 4,255,024,627.82/42,813.80
  6. Step 6: Final answer
    x = 99,384.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.