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Finding the Third Proportional to 32,509 and 51,723

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Solution

The third proportional to 32,509 and 51,723 is: 82,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509 : 51,723 = 51,723 : x
  2. Step 2: Convert to fraction form
    32,509/51,723 = 51,723/x
  3. Step 3: Cross multiply
    32,509x = 51,723 × 51,723
  4. Step 4: Simplify right side
    32,509x = 2,675,268,729
  5. Step 5: Solve for x
    x = 2,675,268,729/32,509
  6. Step 6: Final answer
    x = 82,293.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.