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Finding the Third Proportional to 14,376 and 19,468

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Solution

The third proportional to 14,376 and 19,468 is: 26,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376 : 19,468 = 19,468 : x
  2. Step 2: Convert to fraction form
    14,376/19,468 = 19,468/x
  3. Step 3: Cross multiply
    14,376x = 19,468 × 19,468
  4. Step 4: Simplify right side
    14,376x = 379,003,024
  5. Step 5: Solve for x
    x = 379,003,024/14,376
  6. Step 6: Final answer
    x = 26,363.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.