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Finding the Third Proportional to 10,624 and 22,924

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Solution

The third proportional to 10,624 and 22,924 is: 49,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 22,924 = 22,924 : x
  2. Step 2: Convert to fraction form
    10,624/22,924 = 22,924/x
  3. Step 3: Cross multiply
    10,624x = 22,924 × 22,924
  4. Step 4: Simplify right side
    10,624x = 525,509,776
  5. Step 5: Solve for x
    x = 525,509,776/10,624
  6. Step 6: Final answer
    x = 49,464.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.