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Finding the Third Proportional to 10,512 and 24,973.88

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Solution

The third proportional to 10,512 and 24,973.88 is: 59,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 24,973.88 = 24,973.88 : x
  2. Step 2: Convert to fraction form
    10,512/24,973.88 = 24,973.88/x
  3. Step 3: Cross multiply
    10,512x = 24,973.88 × 24,973.88
  4. Step 4: Simplify right side
    10,512x = 623,694,432.52
  5. Step 5: Solve for x
    x = 623,694,432.52/10,512
  6. Step 6: Final answer
    x = 59,331.66

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.