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Finding the Third Proportional to 32,718 and 43,509

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Solution

The third proportional to 32,718 and 43,509 is: 57,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,718 : 43,509 = 43,509 : x
  2. Step 2: Convert to fraction form
    32,718/43,509 = 43,509/x
  3. Step 3: Cross multiply
    32,718x = 43,509 × 43,509
  4. Step 4: Simplify right side
    32,718x = 1,893,033,081
  5. Step 5: Solve for x
    x = 1,893,033,081/32,718
  6. Step 6: Final answer
    x = 57,859.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.