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Finding the Third Proportional to 32,470 and 48,914

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Solution

The third proportional to 32,470 and 48,914 is: 73,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470 : 48,914 = 48,914 : x
  2. Step 2: Convert to fraction form
    32,470/48,914 = 48,914/x
  3. Step 3: Cross multiply
    32,470x = 48,914 × 48,914
  4. Step 4: Simplify right side
    32,470x = 2,392,579,396
  5. Step 5: Solve for x
    x = 2,392,579,396/32,470
  6. Step 6: Final answer
    x = 73,685.85

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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.