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Finding the Third Proportional to 17,178 and 24,507

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Solution

The third proportional to 17,178 and 24,507 is: 34,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178 : 24,507 = 24,507 : x
  2. Step 2: Convert to fraction form
    17,178/24,507 = 24,507/x
  3. Step 3: Cross multiply
    17,178x = 24,507 × 24,507
  4. Step 4: Simplify right side
    17,178x = 600,593,049
  5. Step 5: Solve for x
    x = 600,593,049/17,178
  6. Step 6: Final answer
    x = 34,962.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.