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Finding the Third Proportional to 32,287 and 48,430

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Solution

The third proportional to 32,287 and 48,430 is: 72,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287 : 48,430 = 48,430 : x
  2. Step 2: Convert to fraction form
    32,287/48,430 = 48,430/x
  3. Step 3: Cross multiply
    32,287x = 48,430 × 48,430
  4. Step 4: Simplify right side
    32,287x = 2,345,464,900
  5. Step 5: Solve for x
    x = 2,345,464,900/32,287
  6. Step 6: Final answer
    x = 72,644.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.