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Finding the Third Proportional to 9,459.28 and 19,884.23

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Solution

The third proportional to 9,459.28 and 19,884.23 is: 41,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.28 : 19,884.23 = 19,884.23 : x
  2. Step 2: Convert to fraction form
    9,459.28/19,884.23 = 19,884.23/x
  3. Step 3: Cross multiply
    9,459.28x = 19,884.23 × 19,884.23
  4. Step 4: Simplify right side
    9,459.28x = 395,382,776.68
  5. Step 5: Solve for x
    x = 395,382,776.68/9,459.28
  6. Step 6: Final answer
    x = 41,798.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.