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Finding the Third Proportional to 15,156 and 21,828

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Solution

The third proportional to 15,156 and 21,828 is: 31,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156 : 21,828 = 21,828 : x
  2. Step 2: Convert to fraction form
    15,156/21,828 = 21,828/x
  3. Step 3: Cross multiply
    15,156x = 21,828 × 21,828
  4. Step 4: Simplify right side
    15,156x = 476,461,584
  5. Step 5: Solve for x
    x = 476,461,584/15,156
  6. Step 6: Final answer
    x = 31,437.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.