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Finding the Third Proportional to 10,524 and 24,690

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Solution

The third proportional to 10,524 and 24,690 is: 57,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 24,690 = 24,690 : x
  2. Step 2: Convert to fraction form
    10,524/24,690 = 24,690/x
  3. Step 3: Cross multiply
    10,524x = 24,690 × 24,690
  4. Step 4: Simplify right side
    10,524x = 609,596,100
  5. Step 5: Solve for x
    x = 609,596,100/10,524
  6. Step 6: Final answer
    x = 57,924.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.