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Finding the Third Proportional to 32,513.47 and 51,927.37

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Solution

The third proportional to 32,513.47 and 51,927.37 is: 82,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.47 : 51,927.37 = 51,927.37 : x
  2. Step 2: Convert to fraction form
    32,513.47/51,927.37 = 51,927.37/x
  3. Step 3: Cross multiply
    32,513.47x = 51,927.37 × 51,927.37
  4. Step 4: Simplify right side
    32,513.47x = 2,696,451,513.74
  5. Step 5: Solve for x
    x = 2,696,451,513.74/32,513.47
  6. Step 6: Final answer
    x = 82,933.36

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.