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Finding the Third Proportional to 10,165.50 and 16,068.38

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Solution

The third proportional to 10,165.50 and 16,068.38 is: 25,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.50 : 16,068.38 = 16,068.38 : x
  2. Step 2: Convert to fraction form
    10,165.50/16,068.38 = 16,068.38/x
  3. Step 3: Cross multiply
    10,165.50x = 16,068.38 × 16,068.38
  4. Step 4: Simplify right side
    10,165.50x = 258,192,675.14
  5. Step 5: Solve for x
    x = 258,192,675.14/10,165.50
  6. Step 6: Final answer
    x = 25,398.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.