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Finding the Third Proportional to 32,346 and 44,540

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Solution

The third proportional to 32,346 and 44,540 is: 61,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346 : 44,540 = 44,540 : x
  2. Step 2: Convert to fraction form
    32,346/44,540 = 44,540/x
  3. Step 3: Cross multiply
    32,346x = 44,540 × 44,540
  4. Step 4: Simplify right side
    32,346x = 1,983,811,600
  5. Step 5: Solve for x
    x = 1,983,811,600/32,346
  6. Step 6: Final answer
    x = 61,330.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.