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Finding the Third Proportional to 14,549.63 and 31,764.66

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Solution

The third proportional to 14,549.63 and 31,764.66 is: 69,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.63 : 31,764.66 = 31,764.66 : x
  2. Step 2: Convert to fraction form
    14,549.63/31,764.66 = 31,764.66/x
  3. Step 3: Cross multiply
    14,549.63x = 31,764.66 × 31,764.66
  4. Step 4: Simplify right side
    14,549.63x = 1,008,993,386.68
  5. Step 5: Solve for x
    x = 1,008,993,386.68/14,549.63
  6. Step 6: Final answer
    x = 69,348.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.