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Finding the Third Proportional to 19,624 and 29,628

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Solution

The third proportional to 19,624 and 29,628 is: 44,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624 : 29,628 = 29,628 : x
  2. Step 2: Convert to fraction form
    19,624/29,628 = 29,628/x
  3. Step 3: Cross multiply
    19,624x = 29,628 × 29,628
  4. Step 4: Simplify right side
    19,624x = 877,818,384
  5. Step 5: Solve for x
    x = 877,818,384/19,624
  6. Step 6: Final answer
    x = 44,731.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.