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Finding the Third Proportional to 32,402.53 and 53,763.75

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Solution

The third proportional to 32,402.53 and 53,763.75 is: 89,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.53 : 53,763.75 = 53,763.75 : x
  2. Step 2: Convert to fraction form
    32,402.53/53,763.75 = 53,763.75/x
  3. Step 3: Cross multiply
    32,402.53x = 53,763.75 × 53,763.75
  4. Step 4: Simplify right side
    32,402.53x = 2,890,540,814.06
  5. Step 5: Solve for x
    x = 2,890,540,814.06/32,402.53
  6. Step 6: Final answer
    x = 89,207.25

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.