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Finding the Third Proportional to 32,394.94 and 52,898.06

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Solution

The third proportional to 32,394.94 and 52,898.06 is: 86,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.94 : 52,898.06 = 52,898.06 : x
  2. Step 2: Convert to fraction form
    32,394.94/52,898.06 = 52,898.06/x
  3. Step 3: Cross multiply
    32,394.94x = 52,898.06 × 52,898.06
  4. Step 4: Simplify right side
    32,394.94x = 2,798,205,016.25
  5. Step 5: Solve for x
    x = 2,798,205,016.25/32,394.94
  6. Step 6: Final answer
    x = 86,377.85

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.