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Finding the Third Proportional to 4,969.48 and 10,622.39

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Solution

The third proportional to 4,969.48 and 10,622.39 is: 22,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.48 : 10,622.39 = 10,622.39 : x
  2. Step 2: Convert to fraction form
    4,969.48/10,622.39 = 10,622.39/x
  3. Step 3: Cross multiply
    4,969.48x = 10,622.39 × 10,622.39
  4. Step 4: Simplify right side
    4,969.48x = 112,835,182.59
  5. Step 5: Solve for x
    x = 112,835,182.59/4,969.48
  6. Step 6: Final answer
    x = 22,705.65

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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.