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Finding the Third Proportional to 4,792.61 and 12,501.21

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Solution

The third proportional to 4,792.61 and 12,501.21 is: 32,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.61 : 12,501.21 = 12,501.21 : x
  2. Step 2: Convert to fraction form
    4,792.61/12,501.21 = 12,501.21/x
  3. Step 3: Cross multiply
    4,792.61x = 12,501.21 × 12,501.21
  4. Step 4: Simplify right side
    4,792.61x = 156,280,274.90
  5. Step 5: Solve for x
    x = 156,280,274.90/4,792.61
  6. Step 6: Final answer
    x = 32,608.63

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.