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Finding the Third Proportional to 14,400.84 and 29,800.78

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Solution

The third proportional to 14,400.84 and 29,800.78 is: 61,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.84 : 29,800.78 = 29,800.78 : x
  2. Step 2: Convert to fraction form
    14,400.84/29,800.78 = 29,800.78/x
  3. Step 3: Cross multiply
    14,400.84x = 29,800.78 × 29,800.78
  4. Step 4: Simplify right side
    14,400.84x = 888,086,563.11
  5. Step 5: Solve for x
    x = 888,086,563.11/14,400.84
  6. Step 6: Final answer
    x = 61,669.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.