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Finding the Third Proportional to 13,925.25 and 32,839.88

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Solution

The third proportional to 13,925.25 and 32,839.88 is: 77,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.25 : 32,839.88 = 32,839.88 : x
  2. Step 2: Convert to fraction form
    13,925.25/32,839.88 = 32,839.88/x
  3. Step 3: Cross multiply
    13,925.25x = 32,839.88 × 32,839.88
  4. Step 4: Simplify right side
    13,925.25x = 1,078,457,390.02
  5. Step 5: Solve for x
    x = 1,078,457,390.02/13,925.25
  6. Step 6: Final answer
    x = 77,446.18

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.