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Finding the Third Proportional to 32,154 and 50,289

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Solution

The third proportional to 32,154 and 50,289 is: 78,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154 : 50,289 = 50,289 : x
  2. Step 2: Convert to fraction form
    32,154/50,289 = 50,289/x
  3. Step 3: Cross multiply
    32,154x = 50,289 × 50,289
  4. Step 4: Simplify right side
    32,154x = 2,528,983,521
  5. Step 5: Solve for x
    x = 2,528,983,521/32,154
  6. Step 6: Final answer
    x = 78,652.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.