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Finding the Third Proportional to 14,068.13 and 30,749.63

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Solution

The third proportional to 14,068.13 and 30,749.63 is: 67,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.13 : 30,749.63 = 30,749.63 : x
  2. Step 2: Convert to fraction form
    14,068.13/30,749.63 = 30,749.63/x
  3. Step 3: Cross multiply
    14,068.13x = 30,749.63 × 30,749.63
  4. Step 4: Simplify right side
    14,068.13x = 945,539,437.64
  5. Step 5: Solve for x
    x = 945,539,437.64/14,068.13
  6. Step 6: Final answer
    x = 67,211.48

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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.