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Finding the Third Proportional to 11,547 and 25,173

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Solution

The third proportional to 11,547 and 25,173 is: 54,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 25,173 = 25,173 : x
  2. Step 2: Convert to fraction form
    11,547/25,173 = 25,173/x
  3. Step 3: Cross multiply
    11,547x = 25,173 × 25,173
  4. Step 4: Simplify right side
    11,547x = 633,679,929
  5. Step 5: Solve for x
    x = 633,679,929/11,547
  6. Step 6: Final answer
    x = 54,878.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.