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Finding the Third Proportional to 21,576 and 47,156

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Solution

The third proportional to 21,576 and 47,156 is: 103,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576 : 47,156 = 47,156 : x
  2. Step 2: Convert to fraction form
    21,576/47,156 = 47,156/x
  3. Step 3: Cross multiply
    21,576x = 47,156 × 47,156
  4. Step 4: Simplify right side
    21,576x = 2,223,688,336
  5. Step 5: Solve for x
    x = 2,223,688,336/21,576
  6. Step 6: Final answer
    x = 103,063.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.