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Finding the Third Proportional to 14,691 and 22,228.50

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Solution

The third proportional to 14,691 and 22,228.50 is: 33,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 22,228.50 = 22,228.50 : x
  2. Step 2: Convert to fraction form
    14,691/22,228.50 = 22,228.50/x
  3. Step 3: Cross multiply
    14,691x = 22,228.50 × 22,228.50
  4. Step 4: Simplify right side
    14,691x = 494,106,212.25
  5. Step 5: Solve for x
    x = 494,106,212.25/14,691
  6. Step 6: Final answer
    x = 33,633.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.