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Finding the Third Proportional to 8,964.19 and 19,697.63

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Solution

The third proportional to 8,964.19 and 19,697.63 is: 43,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.19 : 19,697.63 = 19,697.63 : x
  2. Step 2: Convert to fraction form
    8,964.19/19,697.63 = 19,697.63/x
  3. Step 3: Cross multiply
    8,964.19x = 19,697.63 × 19,697.63
  4. Step 4: Simplify right side
    8,964.19x = 387,996,430.64
  5. Step 5: Solve for x
    x = 387,996,430.64/8,964.19
  6. Step 6: Final answer
    x = 43,282.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.