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Finding the Third Proportional to 39,573.43 and 86,536.40

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Solution

The third proportional to 39,573.43 and 86,536.40 is: 189,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,573.43 : 86,536.40 = 86,536.40 : x
  2. Step 2: Convert to fraction form
    39,573.43/86,536.40 = 86,536.40/x
  3. Step 3: Cross multiply
    39,573.43x = 86,536.40 × 86,536.40
  4. Step 4: Simplify right side
    39,573.43x = 7,488,548,941.16
  5. Step 5: Solve for x
    x = 7,488,548,941.16/39,573.43
  6. Step 6: Final answer
    x = 189,231.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.