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Finding the Third Proportional to 16,492 and 25,154

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Solution

The third proportional to 16,492 and 25,154 is: 38,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492 : 25,154 = 25,154 : x
  2. Step 2: Convert to fraction form
    16,492/25,154 = 25,154/x
  3. Step 3: Cross multiply
    16,492x = 25,154 × 25,154
  4. Step 4: Simplify right side
    16,492x = 632,723,716
  5. Step 5: Solve for x
    x = 632,723,716/16,492
  6. Step 6: Final answer
    x = 38,365.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.