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Finding the Third Proportional to 14,672 and 22,544

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Solution

The third proportional to 14,672 and 22,544 is: 34,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672 : 22,544 = 22,544 : x
  2. Step 2: Convert to fraction form
    14,672/22,544 = 22,544/x
  3. Step 3: Cross multiply
    14,672x = 22,544 × 22,544
  4. Step 4: Simplify right side
    14,672x = 508,231,936
  5. Step 5: Solve for x
    x = 508,231,936/14,672
  6. Step 6: Final answer
    x = 34,639.58

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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.