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Finding the Third Proportional to 8,460 and 19,498

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Solution

The third proportional to 8,460 and 19,498 is: 44,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 19,498 = 19,498 : x
  2. Step 2: Convert to fraction form
    8,460/19,498 = 19,498/x
  3. Step 3: Cross multiply
    8,460x = 19,498 × 19,498
  4. Step 4: Simplify right side
    8,460x = 380,172,004
  5. Step 5: Solve for x
    x = 380,172,004/8,460
  6. Step 6: Final answer
    x = 44,937.59

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.