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Finding the Third Proportional to 32,854 and 51,479

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Solution

The third proportional to 32,854 and 51,479 is: 80,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854 : 51,479 = 51,479 : x
  2. Step 2: Convert to fraction form
    32,854/51,479 = 51,479/x
  3. Step 3: Cross multiply
    32,854x = 51,479 × 51,479
  4. Step 4: Simplify right side
    32,854x = 2,650,087,441
  5. Step 5: Solve for x
    x = 2,650,087,441/32,854
  6. Step 6: Final answer
    x = 80,662.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.