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Finding the Third Proportional to 17,924 and 24,335

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Solution

The third proportional to 17,924 and 24,335 is: 33,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924 : 24,335 = 24,335 : x
  2. Step 2: Convert to fraction form
    17,924/24,335 = 24,335/x
  3. Step 3: Cross multiply
    17,924x = 24,335 × 24,335
  4. Step 4: Simplify right side
    17,924x = 592,192,225
  5. Step 5: Solve for x
    x = 592,192,225/17,924
  6. Step 6: Final answer
    x = 33,039.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.