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Finding the Third Proportional to 10,492.03 and 16,377.19

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Solution

The third proportional to 10,492.03 and 16,377.19 is: 25,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.03 : 16,377.19 = 16,377.19 : x
  2. Step 2: Convert to fraction form
    10,492.03/16,377.19 = 16,377.19/x
  3. Step 3: Cross multiply
    10,492.03x = 16,377.19 × 16,377.19
  4. Step 4: Simplify right side
    10,492.03x = 268,212,270.41
  5. Step 5: Solve for x
    x = 268,212,270.41/10,492.03
  6. Step 6: Final answer
    x = 25,563.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.