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Finding the Third Proportional to 31,483.69 and 68,176.69

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Solution

The third proportional to 31,483.69 and 68,176.69 is: 147,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.69 : 68,176.69 = 68,176.69 : x
  2. Step 2: Convert to fraction form
    31,483.69/68,176.69 = 68,176.69/x
  3. Step 3: Cross multiply
    31,483.69x = 68,176.69 × 68,176.69
  4. Step 4: Simplify right side
    31,483.69x = 4,648,060,718.47
  5. Step 5: Solve for x
    x = 4,648,060,718.47/31,483.69
  6. Step 6: Final answer
    x = 147,633.94

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