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Finding the Third Proportional to 6,676.50 and 10,473

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Solution

The third proportional to 6,676.50 and 10,473 is: 16,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.50 : 10,473 = 10,473 : x
  2. Step 2: Convert to fraction form
    6,676.50/10,473 = 10,473/x
  3. Step 3: Cross multiply
    6,676.50x = 10,473 × 10,473
  4. Step 4: Simplify right side
    6,676.50x = 109,683,729
  5. Step 5: Solve for x
    x = 109,683,729/6,676.50
  6. Step 6: Final answer
    x = 16,428.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.