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Finding the Third Proportional to 19,523 and 30,252

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Solution

The third proportional to 19,523 and 30,252 is: 46,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523 : 30,252 = 30,252 : x
  2. Step 2: Convert to fraction form
    19,523/30,252 = 30,252/x
  3. Step 3: Cross multiply
    19,523x = 30,252 × 30,252
  4. Step 4: Simplify right side
    19,523x = 915,183,504
  5. Step 5: Solve for x
    x = 915,183,504/19,523
  6. Step 6: Final answer
    x = 46,877.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.