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Finding the Third Proportional to 32,454 and 48,921

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Solution

The third proportional to 32,454 and 48,921 is: 73,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 48,921 = 48,921 : x
  2. Step 2: Convert to fraction form
    32,454/48,921 = 48,921/x
  3. Step 3: Cross multiply
    32,454x = 48,921 × 48,921
  4. Step 4: Simplify right side
    32,454x = 2,393,264,241
  5. Step 5: Solve for x
    x = 2,393,264,241/32,454
  6. Step 6: Final answer
    x = 73,743.27

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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.