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Finding the Third Proportional to 9,103.64 and 19,515.94

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Solution

The third proportional to 9,103.64 and 19,515.94 is: 41,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.64 : 19,515.94 = 19,515.94 : x
  2. Step 2: Convert to fraction form
    9,103.64/19,515.94 = 19,515.94/x
  3. Step 3: Cross multiply
    9,103.64x = 19,515.94 × 19,515.94
  4. Step 4: Simplify right side
    9,103.64x = 380,871,816.50
  5. Step 5: Solve for x
    x = 380,871,816.50/9,103.64
  6. Step 6: Final answer
    x = 41,837.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.