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Finding the Third Proportional to 7,742.81 and 16,964.63

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Solution

The third proportional to 7,742.81 and 16,964.63 is: 37,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.81 : 16,964.63 = 16,964.63 : x
  2. Step 2: Convert to fraction form
    7,742.81/16,964.63 = 16,964.63/x
  3. Step 3: Cross multiply
    7,742.81x = 16,964.63 × 16,964.63
  4. Step 4: Simplify right side
    7,742.81x = 287,798,501.39
  5. Step 5: Solve for x
    x = 287,798,501.39/7,742.81
  6. Step 6: Final answer
    x = 37,169.76

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Why These Related Problems?

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