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Finding the Third Proportional to 4,498 and 9,645

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Solution

The third proportional to 4,498 and 9,645 is: 20,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498 : 9,645 = 9,645 : x
  2. Step 2: Convert to fraction form
    4,498/9,645 = 9,645/x
  3. Step 3: Cross multiply
    4,498x = 9,645 × 9,645
  4. Step 4: Simplify right side
    4,498x = 93,026,025
  5. Step 5: Solve for x
    x = 93,026,025/4,498
  6. Step 6: Final answer
    x = 20,681.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.