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Finding the Third Proportional to 14,431.50 and 23,053.75

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Solution

The third proportional to 14,431.50 and 23,053.75 is: 36,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.50 : 23,053.75 = 23,053.75 : x
  2. Step 2: Convert to fraction form
    14,431.50/23,053.75 = 23,053.75/x
  3. Step 3: Cross multiply
    14,431.50x = 23,053.75 × 23,053.75
  4. Step 4: Simplify right side
    14,431.50x = 531,475,389.06
  5. Step 5: Solve for x
    x = 531,475,389.06/14,431.50
  6. Step 6: Final answer
    x = 36,827.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.