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Finding the Third Proportional to 20,947 and 49,409

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Solution

The third proportional to 20,947 and 49,409 is: 116,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,947 : 49,409 = 49,409 : x
  2. Step 2: Convert to fraction form
    20,947/49,409 = 49,409/x
  3. Step 3: Cross multiply
    20,947x = 49,409 × 49,409
  4. Step 4: Simplify right side
    20,947x = 2,441,249,281
  5. Step 5: Solve for x
    x = 2,441,249,281/20,947
  6. Step 6: Final answer
    x = 116,544.10

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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.