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Finding the Third Proportional to 32,946 and 49,704

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Solution

The third proportional to 32,946 and 49,704 is: 74,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946 : 49,704 = 49,704 : x
  2. Step 2: Convert to fraction form
    32,946/49,704 = 49,704/x
  3. Step 3: Cross multiply
    32,946x = 49,704 × 49,704
  4. Step 4: Simplify right side
    32,946x = 2,470,487,616
  5. Step 5: Solve for x
    x = 2,470,487,616/32,946
  6. Step 6: Final answer
    x = 74,985.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.