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Finding the Third Proportional to 16,839.50 and 26,146

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Solution

The third proportional to 16,839.50 and 26,146 is: 40,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839.50 : 26,146 = 26,146 : x
  2. Step 2: Convert to fraction form
    16,839.50/26,146 = 26,146/x
  3. Step 3: Cross multiply
    16,839.50x = 26,146 × 26,146
  4. Step 4: Simplify right side
    16,839.50x = 683,613,316
  5. Step 5: Solve for x
    x = 683,613,316/16,839.50
  6. Step 6: Final answer
    x = 40,595.82

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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.