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Finding the Third Proportional to 10,425 and 24,594

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Solution

The third proportional to 10,425 and 24,594 is: 58,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425 : 24,594 = 24,594 : x
  2. Step 2: Convert to fraction form
    10,425/24,594 = 24,594/x
  3. Step 3: Cross multiply
    10,425x = 24,594 × 24,594
  4. Step 4: Simplify right side
    10,425x = 604,864,836
  5. Step 5: Solve for x
    x = 604,864,836/10,425
  6. Step 6: Final answer
    x = 58,020.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.