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Finding the Third Proportional to 34,438 and 53,213

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Solution

The third proportional to 34,438 and 53,213 is: 82,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438 : 53,213 = 53,213 : x
  2. Step 2: Convert to fraction form
    34,438/53,213 = 53,213/x
  3. Step 3: Cross multiply
    34,438x = 53,213 × 53,213
  4. Step 4: Simplify right side
    34,438x = 2,831,623,369
  5. Step 5: Solve for x
    x = 2,831,623,369/34,438
  6. Step 6: Final answer
    x = 82,223.80

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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.