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Finding the Third Proportional to 10,458 and 16,834.50

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Solution

The third proportional to 10,458 and 16,834.50 is: 27,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458 : 16,834.50 = 16,834.50 : x
  2. Step 2: Convert to fraction form
    10,458/16,834.50 = 16,834.50/x
  3. Step 3: Cross multiply
    10,458x = 16,834.50 × 16,834.50
  4. Step 4: Simplify right side
    10,458x = 283,400,390.25
  5. Step 5: Solve for x
    x = 283,400,390.25/10,458
  6. Step 6: Final answer
    x = 27,098.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.