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Finding the Third Proportional to 4,167.28 and 9,025.59

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Solution

The third proportional to 4,167.28 and 9,025.59 is: 19,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.28 : 9,025.59 = 9,025.59 : x
  2. Step 2: Convert to fraction form
    4,167.28/9,025.59 = 9,025.59/x
  3. Step 3: Cross multiply
    4,167.28x = 9,025.59 × 9,025.59
  4. Step 4: Simplify right side
    4,167.28x = 81,461,342.54
  5. Step 5: Solve for x
    x = 81,461,342.54/4,167.28
  6. Step 6: Final answer
    x = 19,547.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.