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Finding the Third Proportional to 14,977.13 and 23,494.22

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Solution

The third proportional to 14,977.13 and 23,494.22 is: 36,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.13 : 23,494.22 = 23,494.22 : x
  2. Step 2: Convert to fraction form
    14,977.13/23,494.22 = 23,494.22/x
  3. Step 3: Cross multiply
    14,977.13x = 23,494.22 × 23,494.22
  4. Step 4: Simplify right side
    14,977.13x = 551,978,314.67
  5. Step 5: Solve for x
    x = 551,978,314.67/14,977.13
  6. Step 6: Final answer
    x = 36,854.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.