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Finding the Third Proportional to 14,898.94 and 23,228.33

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Solution

The third proportional to 14,898.94 and 23,228.33 is: 36,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898.94 : 23,228.33 = 23,228.33 : x
  2. Step 2: Convert to fraction form
    14,898.94/23,228.33 = 23,228.33/x
  3. Step 3: Cross multiply
    14,898.94x = 23,228.33 × 23,228.33
  4. Step 4: Simplify right side
    14,898.94x = 539,555,408.95
  5. Step 5: Solve for x
    x = 539,555,408.95/14,898.94
  6. Step 6: Final answer
    x = 36,214.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.