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Finding the Third Proportional to 43,159.08 and 53,103.09

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Solution

The third proportional to 43,159.08 and 53,103.09 is: 65,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,159.08 : 53,103.09 = 53,103.09 : x
  2. Step 2: Convert to fraction form
    43,159.08/53,103.09 = 53,103.09/x
  3. Step 3: Cross multiply
    43,159.08x = 53,103.09 × 53,103.09
  4. Step 4: Simplify right side
    43,159.08x = 2,819,938,565.82
  5. Step 5: Solve for x
    x = 2,819,938,565.82/43,159.08
  6. Step 6: Final answer
    x = 65,338.25

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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.