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Finding the Third Proportional to 14,488.03 and 31,744.41

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Solution

The third proportional to 14,488.03 and 31,744.41 is: 69,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.03 : 31,744.41 = 31,744.41 : x
  2. Step 2: Convert to fraction form
    14,488.03/31,744.41 = 31,744.41/x
  3. Step 3: Cross multiply
    14,488.03x = 31,744.41 × 31,744.41
  4. Step 4: Simplify right side
    14,488.03x = 1,007,707,328.17
  5. Step 5: Solve for x
    x = 1,007,707,328.17/14,488.03
  6. Step 6: Final answer
    x = 69,554.47

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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.