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Finding the Third Proportional to 14,177.06 and 29,805.38

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Solution

The third proportional to 14,177.06 and 29,805.38 is: 62,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.06 : 29,805.38 = 29,805.38 : x
  2. Step 2: Convert to fraction form
    14,177.06/29,805.38 = 29,805.38/x
  3. Step 3: Cross multiply
    14,177.06x = 29,805.38 × 29,805.38
  4. Step 4: Simplify right side
    14,177.06x = 888,360,378.89
  5. Step 5: Solve for x
    x = 888,360,378.89/14,177.06
  6. Step 6: Final answer
    x = 62,661.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.