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Finding the Third Proportional to 32,578 and 51,781

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Solution

The third proportional to 32,578 and 51,781 is: 82,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578 : 51,781 = 51,781 : x
  2. Step 2: Convert to fraction form
    32,578/51,781 = 51,781/x
  3. Step 3: Cross multiply
    32,578x = 51,781 × 51,781
  4. Step 4: Simplify right side
    32,578x = 2,681,271,961
  5. Step 5: Solve for x
    x = 2,681,271,961/32,578
  6. Step 6: Final answer
    x = 82,303.15

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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.