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Finding the Third Proportional to 14,671.13 and 27,823.50

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Solution

The third proportional to 14,671.13 and 27,823.50 is: 52,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.13 : 27,823.50 = 27,823.50 : x
  2. Step 2: Convert to fraction form
    14,671.13/27,823.50 = 27,823.50/x
  3. Step 3: Cross multiply
    14,671.13x = 27,823.50 × 27,823.50
  4. Step 4: Simplify right side
    14,671.13x = 774,147,152.25
  5. Step 5: Solve for x
    x = 774,147,152.25/14,671.13
  6. Step 6: Final answer
    x = 52,766.72

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.