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Finding the Third Proportional to 4,823.50 and 10,646

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Solution

The third proportional to 4,823.50 and 10,646 is: 23,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.50 : 10,646 = 10,646 : x
  2. Step 2: Convert to fraction form
    4,823.50/10,646 = 10,646/x
  3. Step 3: Cross multiply
    4,823.50x = 10,646 × 10,646
  4. Step 4: Simplify right side
    4,823.50x = 113,337,316
  5. Step 5: Solve for x
    x = 113,337,316/4,823.50
  6. Step 6: Final answer
    x = 23,496.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.