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Finding the Third Proportional to 34,435 and 53,209

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Solution

The third proportional to 34,435 and 53,209 is: 82,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435 : 53,209 = 53,209 : x
  2. Step 2: Convert to fraction form
    34,435/53,209 = 53,209/x
  3. Step 3: Cross multiply
    34,435x = 53,209 × 53,209
  4. Step 4: Simplify right side
    34,435x = 2,831,197,681
  5. Step 5: Solve for x
    x = 2,831,197,681/34,435
  6. Step 6: Final answer
    x = 82,218.61

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Why These Related Problems?

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