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Finding the Third Proportional to 14,764.78 and 22,223.11

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Solution

The third proportional to 14,764.78 and 22,223.11 is: 33,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.78 : 22,223.11 = 22,223.11 : x
  2. Step 2: Convert to fraction form
    14,764.78/22,223.11 = 22,223.11/x
  3. Step 3: Cross multiply
    14,764.78x = 22,223.11 × 22,223.11
  4. Step 4: Simplify right side
    14,764.78x = 493,866,590.29
  5. Step 5: Solve for x
    x = 493,866,590.29/14,764.78
  6. Step 6: Final answer
    x = 33,448.96

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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.