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Finding the Third Proportional to 14,557.22 and 23,829.19

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Solution

The third proportional to 14,557.22 and 23,829.19 is: 39,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.22 : 23,829.19 = 23,829.19 : x
  2. Step 2: Convert to fraction form
    14,557.22/23,829.19 = 23,829.19/x
  3. Step 3: Cross multiply
    14,557.22x = 23,829.19 × 23,829.19
  4. Step 4: Simplify right side
    14,557.22x = 567,830,176.91
  5. Step 5: Solve for x
    x = 567,830,176.91/14,557.22
  6. Step 6: Final answer
    x = 39,006.78

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.