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Finding the Third Proportional to 32,273 and 48,895

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Solution

The third proportional to 32,273 and 48,895 is: 74,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,273 : 48,895 = 48,895 : x
  2. Step 2: Convert to fraction form
    32,273/48,895 = 48,895/x
  3. Step 3: Cross multiply
    32,273x = 48,895 × 48,895
  4. Step 4: Simplify right side
    32,273x = 2,390,721,025
  5. Step 5: Solve for x
    x = 2,390,721,025/32,273
  6. Step 6: Final answer
    x = 74,078.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.