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Finding the Third Proportional to 32,346 and 43,466

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Solution

The third proportional to 32,346 and 43,466 is: 58,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346 : 43,466 = 43,466 : x
  2. Step 2: Convert to fraction form
    32,346/43,466 = 43,466/x
  3. Step 3: Cross multiply
    32,346x = 43,466 × 43,466
  4. Step 4: Simplify right side
    32,346x = 1,889,293,156
  5. Step 5: Solve for x
    x = 1,889,293,156/32,346
  6. Step 6: Final answer
    x = 58,408.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.