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Finding the Third Proportional to 11,565.28 and 17,316.28

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Solution

The third proportional to 11,565.28 and 17,316.28 is: 25,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.28 : 17,316.28 = 17,316.28 : x
  2. Step 2: Convert to fraction form
    11,565.28/17,316.28 = 17,316.28/x
  3. Step 3: Cross multiply
    11,565.28x = 17,316.28 × 17,316.28
  4. Step 4: Simplify right side
    11,565.28x = 299,853,596.33
  5. Step 5: Solve for x
    x = 299,853,596.33/11,565.28
  6. Step 6: Final answer
    x = 25,927.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.