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Finding the Third Proportional to 14,628 and 23,208

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Solution

The third proportional to 14,628 and 23,208 is: 36,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,628 : 23,208 = 23,208 : x
  2. Step 2: Convert to fraction form
    14,628/23,208 = 23,208/x
  3. Step 3: Cross multiply
    14,628x = 23,208 × 23,208
  4. Step 4: Simplify right side
    14,628x = 538,611,264
  5. Step 5: Solve for x
    x = 538,611,264/14,628
  6. Step 6: Final answer
    x = 36,820.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.