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Finding the Third Proportional to 4,901.50 and 10,571

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Solution

The third proportional to 4,901.50 and 10,571 is: 22,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.50 : 10,571 = 10,571 : x
  2. Step 2: Convert to fraction form
    4,901.50/10,571 = 10,571/x
  3. Step 3: Cross multiply
    4,901.50x = 10,571 × 10,571
  4. Step 4: Simplify right side
    4,901.50x = 111,746,041
  5. Step 5: Solve for x
    x = 111,746,041/4,901.50
  6. Step 6: Final answer
    x = 22,798.34

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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.