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Finding the Third Proportional to 14,329.88 and 23,214.75

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Solution

The third proportional to 14,329.88 and 23,214.75 is: 37,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.88 : 23,214.75 = 23,214.75 : x
  2. Step 2: Convert to fraction form
    14,329.88/23,214.75 = 23,214.75/x
  3. Step 3: Cross multiply
    14,329.88x = 23,214.75 × 23,214.75
  4. Step 4: Simplify right side
    14,329.88x = 538,924,617.56
  5. Step 5: Solve for x
    x = 538,924,617.56/14,329.88
  6. Step 6: Final answer
    x = 37,608.47

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.