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Finding the Third Proportional to 32,114 and 49,420

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Solution

The third proportional to 32,114 and 49,420 is: 76,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114 : 49,420 = 49,420 : x
  2. Step 2: Convert to fraction form
    32,114/49,420 = 49,420/x
  3. Step 3: Cross multiply
    32,114x = 49,420 × 49,420
  4. Step 4: Simplify right side
    32,114x = 2,442,336,400
  5. Step 5: Solve for x
    x = 2,442,336,400/32,114
  6. Step 6: Final answer
    x = 76,052.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.