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Finding the Third Proportional to 14,798.25 and 22,350.38

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Solution

The third proportional to 14,798.25 and 22,350.38 is: 33,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.25 : 22,350.38 = 22,350.38 : x
  2. Step 2: Convert to fraction form
    14,798.25/22,350.38 = 22,350.38/x
  3. Step 3: Cross multiply
    14,798.25x = 22,350.38 × 22,350.38
  4. Step 4: Simplify right side
    14,798.25x = 499,539,262.64
  5. Step 5: Solve for x
    x = 499,539,262.64/14,798.25
  6. Step 6: Final answer
    x = 33,756.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.