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Finding the Third Proportional to 34,311 and 53,176.50

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Solution

The third proportional to 34,311 and 53,176.50 is: 82,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311 : 53,176.50 = 53,176.50 : x
  2. Step 2: Convert to fraction form
    34,311/53,176.50 = 53,176.50/x
  3. Step 3: Cross multiply
    34,311x = 53,176.50 × 53,176.50
  4. Step 4: Simplify right side
    34,311x = 2,827,740,152.25
  5. Step 5: Solve for x
    x = 2,827,740,152.25/34,311
  6. Step 6: Final answer
    x = 82,414.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.