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Finding the Third Proportional to 32,235.47 and 43,534.97

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Solution

The third proportional to 32,235.47 and 43,534.97 is: 58,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,235.47 : 43,534.97 = 43,534.97 : x
  2. Step 2: Convert to fraction form
    32,235.47/43,534.97 = 43,534.97/x
  3. Step 3: Cross multiply
    32,235.47x = 43,534.97 × 43,534.97
  4. Step 4: Simplify right side
    32,235.47x = 1,895,293,504.06
  5. Step 5: Solve for x
    x = 1,895,293,504.06/32,235.47
  6. Step 6: Final answer
    x = 58,795.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.