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Finding the Third Proportional to 17,924 and 38,547

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Solution

The third proportional to 17,924 and 38,547 is: 82,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924 : 38,547 = 38,547 : x
  2. Step 2: Convert to fraction form
    17,924/38,547 = 38,547/x
  3. Step 3: Cross multiply
    17,924x = 38,547 × 38,547
  4. Step 4: Simplify right side
    17,924x = 1,485,871,209
  5. Step 5: Solve for x
    x = 1,485,871,209/17,924
  6. Step 6: Final answer
    x = 82,898.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.