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Finding the Third Proportional to 32,466 and 79,521.75

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Solution

The third proportional to 32,466 and 79,521.75 is: 194,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466 : 79,521.75 = 79,521.75 : x
  2. Step 2: Convert to fraction form
    32,466/79,521.75 = 79,521.75/x
  3. Step 3: Cross multiply
    32,466x = 79,521.75 × 79,521.75
  4. Step 4: Simplify right side
    32,466x = 6,323,708,723.06
  5. Step 5: Solve for x
    x = 6,323,708,723.06/32,466
  6. Step 6: Final answer
    x = 194,779.42

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.