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Finding the Third Proportional to 32,954 and 51,070

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Solution

The third proportional to 32,954 and 51,070 is: 79,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954 : 51,070 = 51,070 : x
  2. Step 2: Convert to fraction form
    32,954/51,070 = 51,070/x
  3. Step 3: Cross multiply
    32,954x = 51,070 × 51,070
  4. Step 4: Simplify right side
    32,954x = 2,608,144,900
  5. Step 5: Solve for x
    x = 2,608,144,900/32,954
  6. Step 6: Final answer
    x = 79,145.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.