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Finding the Third Proportional to 34,465 and 53,195

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Solution

The third proportional to 34,465 and 53,195 is: 82,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,465 : 53,195 = 53,195 : x
  2. Step 2: Convert to fraction form
    34,465/53,195 = 53,195/x
  3. Step 3: Cross multiply
    34,465x = 53,195 × 53,195
  4. Step 4: Simplify right side
    34,465x = 2,829,708,025
  5. Step 5: Solve for x
    x = 2,829,708,025/34,465
  6. Step 6: Final answer
    x = 82,103.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.