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Finding the Third Proportional to 34,460 and 55,288

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Solution

The third proportional to 34,460 and 55,288 is: 88,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,460 : 55,288 = 55,288 : x
  2. Step 2: Convert to fraction form
    34,460/55,288 = 55,288/x
  3. Step 3: Cross multiply
    34,460x = 55,288 × 55,288
  4. Step 4: Simplify right side
    34,460x = 3,056,762,944
  5. Step 5: Solve for x
    x = 3,056,762,944/34,460
  6. Step 6: Final answer
    x = 88,704.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.