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Finding the Third Proportional to 15,424 and 19,492

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Solution

The third proportional to 15,424 and 19,492 is: 24,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424 : 19,492 = 19,492 : x
  2. Step 2: Convert to fraction form
    15,424/19,492 = 19,492/x
  3. Step 3: Cross multiply
    15,424x = 19,492 × 19,492
  4. Step 4: Simplify right side
    15,424x = 379,938,064
  5. Step 5: Solve for x
    x = 379,938,064/15,424
  6. Step 6: Final answer
    x = 24,632.91

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.