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Finding the Third Proportional to 11,636.16 and 25,117.31

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Solution

The third proportional to 11,636.16 and 25,117.31 is: 54,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.16 : 25,117.31 = 25,117.31 : x
  2. Step 2: Convert to fraction form
    11,636.16/25,117.31 = 25,117.31/x
  3. Step 3: Cross multiply
    11,636.16x = 25,117.31 × 25,117.31
  4. Step 4: Simplify right side
    11,636.16x = 630,879,387.22
  5. Step 5: Solve for x
    x = 630,879,387.22/11,636.16
  6. Step 6: Final answer
    x = 54,217.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.