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Finding the Third Proportional to 16,402.50 and 23,965.88

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Solution

The third proportional to 16,402.50 and 23,965.88 is: 35,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.50 : 23,965.88 = 23,965.88 : x
  2. Step 2: Convert to fraction form
    16,402.50/23,965.88 = 23,965.88/x
  3. Step 3: Cross multiply
    16,402.50x = 23,965.88 × 23,965.88
  4. Step 4: Simplify right side
    16,402.50x = 574,363,164.52
  5. Step 5: Solve for x
    x = 574,363,164.52/16,402.50
  6. Step 6: Final answer
    x = 35,016.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.