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Finding the Third Proportional to 15,454 and 19,536

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Solution

The third proportional to 15,454 and 19,536 is: 24,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454 : 19,536 = 19,536 : x
  2. Step 2: Convert to fraction form
    15,454/19,536 = 19,536/x
  3. Step 3: Cross multiply
    15,454x = 19,536 × 19,536
  4. Step 4: Simplify right side
    15,454x = 381,655,296
  5. Step 5: Solve for x
    x = 381,655,296/15,454
  6. Step 6: Final answer
    x = 24,696.21

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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.