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Finding the Third Proportional to 32,070 and 48,675

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Solution

The third proportional to 32,070 and 48,675 is: 73,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,070 : 48,675 = 48,675 : x
  2. Step 2: Convert to fraction form
    32,070/48,675 = 48,675/x
  3. Step 3: Cross multiply
    32,070x = 48,675 × 48,675
  4. Step 4: Simplify right side
    32,070x = 2,369,255,625
  5. Step 5: Solve for x
    x = 2,369,255,625/32,070
  6. Step 6: Final answer
    x = 73,877.63

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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.