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Finding the Third Proportional to 10,149.47 and 13,826.53

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Solution

The third proportional to 10,149.47 and 13,826.53 is: 18,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.47 : 13,826.53 = 13,826.53 : x
  2. Step 2: Convert to fraction form
    10,149.47/13,826.53 = 13,826.53/x
  3. Step 3: Cross multiply
    10,149.47x = 13,826.53 × 13,826.53
  4. Step 4: Simplify right side
    10,149.47x = 191,172,966.41
  5. Step 5: Solve for x
    x = 191,172,966.41/10,149.47
  6. Step 6: Final answer
    x = 18,835.76

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.