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Finding the Third Proportional to 4,416 and 9,654

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Solution

The third proportional to 4,416 and 9,654 is: 21,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 9,654 = 9,654 : x
  2. Step 2: Convert to fraction form
    4,416/9,654 = 9,654/x
  3. Step 3: Cross multiply
    4,416x = 9,654 × 9,654
  4. Step 4: Simplify right side
    4,416x = 93,199,716
  5. Step 5: Solve for x
    x = 93,199,716/4,416
  6. Step 6: Final answer
    x = 21,105.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.