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Finding the Third Proportional to 14,074.50 and 19,275

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Solution

The third proportional to 14,074.50 and 19,275 is: 26,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.50 : 19,275 = 19,275 : x
  2. Step 2: Convert to fraction form
    14,074.50/19,275 = 19,275/x
  3. Step 3: Cross multiply
    14,074.50x = 19,275 × 19,275
  4. Step 4: Simplify right side
    14,074.50x = 371,525,625
  5. Step 5: Solve for x
    x = 371,525,625/14,074.50
  6. Step 6: Final answer
    x = 26,397.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.