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Finding the Third Proportional to 18,132 and 26,547

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Solution

The third proportional to 18,132 and 26,547 is: 38,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132 : 26,547 = 26,547 : x
  2. Step 2: Convert to fraction form
    18,132/26,547 = 26,547/x
  3. Step 3: Cross multiply
    18,132x = 26,547 × 26,547
  4. Step 4: Simplify right side
    18,132x = 704,743,209
  5. Step 5: Solve for x
    x = 704,743,209/18,132
  6. Step 6: Final answer
    x = 38,867.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.