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Finding the Third Proportional to 32,657 and 48,859

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Solution

The third proportional to 32,657 and 48,859 is: 73,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657 : 48,859 = 48,859 : x
  2. Step 2: Convert to fraction form
    32,657/48,859 = 48,859/x
  3. Step 3: Cross multiply
    32,657x = 48,859 × 48,859
  4. Step 4: Simplify right side
    32,657x = 2,387,201,881
  5. Step 5: Solve for x
    x = 2,387,201,881/32,657
  6. Step 6: Final answer
    x = 73,099.24

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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.