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Finding the Third Proportional to 14,167.50 and 21,860.75

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Solution

The third proportional to 14,167.50 and 21,860.75 is: 33,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167.50 : 21,860.75 = 21,860.75 : x
  2. Step 2: Convert to fraction form
    14,167.50/21,860.75 = 21,860.75/x
  3. Step 3: Cross multiply
    14,167.50x = 21,860.75 × 21,860.75
  4. Step 4: Simplify right side
    14,167.50x = 477,892,390.56
  5. Step 5: Solve for x
    x = 477,892,390.56/14,167.50
  6. Step 6: Final answer
    x = 33,731.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.