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Finding the Third Proportional to 23,428 and 50,804

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Solution

The third proportional to 23,428 and 50,804 is: 110,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428 : 50,804 = 50,804 : x
  2. Step 2: Convert to fraction form
    23,428/50,804 = 50,804/x
  3. Step 3: Cross multiply
    23,428x = 50,804 × 50,804
  4. Step 4: Simplify right side
    23,428x = 2,581,046,416
  5. Step 5: Solve for x
    x = 2,581,046,416/23,428
  6. Step 6: Final answer
    x = 110,169.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.