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Finding the Third Proportional to 4,814.50 and 10,320.50

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Solution

The third proportional to 4,814.50 and 10,320.50 is: 22,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.50 : 10,320.50 = 10,320.50 : x
  2. Step 2: Convert to fraction form
    4,814.50/10,320.50 = 10,320.50/x
  3. Step 3: Cross multiply
    4,814.50x = 10,320.50 × 10,320.50
  4. Step 4: Simplify right side
    4,814.50x = 106,512,720.25
  5. Step 5: Solve for x
    x = 106,512,720.25/4,814.50
  6. Step 6: Final answer
    x = 22,123.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.