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Finding the Third Proportional to 32,682 and 51,780

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Solution

The third proportional to 32,682 and 51,780 is: 82,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682 : 51,780 = 51,780 : x
  2. Step 2: Convert to fraction form
    32,682/51,780 = 51,780/x
  3. Step 3: Cross multiply
    32,682x = 51,780 × 51,780
  4. Step 4: Simplify right side
    32,682x = 2,681,168,400
  5. Step 5: Solve for x
    x = 2,681,168,400/32,682
  6. Step 6: Final answer
    x = 82,038.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.