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Finding the Third Proportional to 14,540 and 32,370

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Solution

The third proportional to 14,540 and 32,370 is: 72,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540 : 32,370 = 32,370 : x
  2. Step 2: Convert to fraction form
    14,540/32,370 = 32,370/x
  3. Step 3: Cross multiply
    14,540x = 32,370 × 32,370
  4. Step 4: Simplify right side
    14,540x = 1,047,816,900
  5. Step 5: Solve for x
    x = 1,047,816,900/14,540
  6. Step 6: Final answer
    x = 72,064.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.