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Finding the Third Proportional to 14,496 and 19,272

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Solution

The third proportional to 14,496 and 19,272 is: 25,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496 : 19,272 = 19,272 : x
  2. Step 2: Convert to fraction form
    14,496/19,272 = 19,272/x
  3. Step 3: Cross multiply
    14,496x = 19,272 × 19,272
  4. Step 4: Simplify right side
    14,496x = 371,409,984
  5. Step 5: Solve for x
    x = 371,409,984/14,496
  6. Step 6: Final answer
    x = 25,621.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.