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Finding the Third Proportional to 34,447 and 52,658

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Solution

The third proportional to 34,447 and 52,658 is: 80,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,447 : 52,658 = 52,658 : x
  2. Step 2: Convert to fraction form
    34,447/52,658 = 52,658/x
  3. Step 3: Cross multiply
    34,447x = 52,658 × 52,658
  4. Step 4: Simplify right side
    34,447x = 2,772,864,964
  5. Step 5: Solve for x
    x = 2,772,864,964/34,447
  6. Step 6: Final answer
    x = 80,496.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.