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Finding the Third Proportional to 10,437.75 and 16,187.06

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Solution

The third proportional to 10,437.75 and 16,187.06 is: 25,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.75 : 16,187.06 = 16,187.06 : x
  2. Step 2: Convert to fraction form
    10,437.75/16,187.06 = 16,187.06/x
  3. Step 3: Cross multiply
    10,437.75x = 16,187.06 × 16,187.06
  4. Step 4: Simplify right side
    10,437.75x = 262,020,992.38
  5. Step 5: Solve for x
    x = 262,020,992.38/10,437.75
  6. Step 6: Final answer
    x = 25,103.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.