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Finding the Third Proportional to 14,612.25 and 31,958.25

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Solution

The third proportional to 14,612.25 and 31,958.25 is: 69,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.25 : 31,958.25 = 31,958.25 : x
  2. Step 2: Convert to fraction form
    14,612.25/31,958.25 = 31,958.25/x
  3. Step 3: Cross multiply
    14,612.25x = 31,958.25 × 31,958.25
  4. Step 4: Simplify right side
    14,612.25x = 1,021,329,743.06
  5. Step 5: Solve for x
    x = 1,021,329,743.06/14,612.25
  6. Step 6: Final answer
    x = 69,895.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.