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Finding the Third Proportional to 8,624 and 19,808

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Solution

The third proportional to 8,624 and 19,808 is: 45,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624 : 19,808 = 19,808 : x
  2. Step 2: Convert to fraction form
    8,624/19,808 = 19,808/x
  3. Step 3: Cross multiply
    8,624x = 19,808 × 19,808
  4. Step 4: Simplify right side
    8,624x = 392,356,864
  5. Step 5: Solve for x
    x = 392,356,864/8,624
  6. Step 6: Final answer
    x = 45,495.93

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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.