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Finding the Third Proportional to 9,365.63 and 19,814.63

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Solution

The third proportional to 9,365.63 and 19,814.63 is: 41,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.63 : 19,814.63 = 19,814.63 : x
  2. Step 2: Convert to fraction form
    9,365.63/19,814.63 = 19,814.63/x
  3. Step 3: Cross multiply
    9,365.63x = 19,814.63 × 19,814.63
  4. Step 4: Simplify right side
    9,365.63x = 392,619,363.89
  5. Step 5: Solve for x
    x = 392,619,363.89/9,365.63
  6. Step 6: Final answer
    x = 41,921.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.