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Finding the Third Proportional to 14,970 and 23,275

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Solution

The third proportional to 14,970 and 23,275 is: 36,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970 : 23,275 = 23,275 : x
  2. Step 2: Convert to fraction form
    14,970/23,275 = 23,275/x
  3. Step 3: Cross multiply
    14,970x = 23,275 × 23,275
  4. Step 4: Simplify right side
    14,970x = 541,725,625
  5. Step 5: Solve for x
    x = 541,725,625/14,970
  6. Step 6: Final answer
    x = 36,187.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.