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Finding the Third Proportional to 14,872 and 22,308

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Solution

The third proportional to 14,872 and 22,308 is: 33,462

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872 : 22,308 = 22,308 : x
  2. Step 2: Convert to fraction form
    14,872/22,308 = 22,308/x
  3. Step 3: Cross multiply
    14,872x = 22,308 × 22,308
  4. Step 4: Simplify right side
    14,872x = 497,646,864
  5. Step 5: Solve for x
    x = 497,646,864/14,872
  6. Step 6: Final answer
    x = 33,462

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.