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Finding the Third Proportional to 22,629.38 and 34,430.06

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Solution

The third proportional to 22,629.38 and 34,430.06 is: 52,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,629.38 : 34,430.06 = 34,430.06 : x
  2. Step 2: Convert to fraction form
    22,629.38/34,430.06 = 34,430.06/x
  3. Step 3: Cross multiply
    22,629.38x = 34,430.06 × 34,430.06
  4. Step 4: Simplify right side
    22,629.38x = 1,185,429,203.75
  5. Step 5: Solve for x
    x = 1,185,429,203.75/22,629.38
  6. Step 6: Final answer
    x = 52,384.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.