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Finding the Third Proportional to 16,358 and 25,173

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Solution

The third proportional to 16,358 and 25,173 is: 38,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358 : 25,173 = 25,173 : x
  2. Step 2: Convert to fraction form
    16,358/25,173 = 25,173/x
  3. Step 3: Cross multiply
    16,358x = 25,173 × 25,173
  4. Step 4: Simplify right side
    16,358x = 633,679,929
  5. Step 5: Solve for x
    x = 633,679,929/16,358
  6. Step 6: Final answer
    x = 38,738.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.