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Finding the Third Proportional to 32,128 and 49,416

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Solution

The third proportional to 32,128 and 49,416 is: 76,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128 : 49,416 = 49,416 : x
  2. Step 2: Convert to fraction form
    32,128/49,416 = 49,416/x
  3. Step 3: Cross multiply
    32,128x = 49,416 × 49,416
  4. Step 4: Simplify right side
    32,128x = 2,441,941,056
  5. Step 5: Solve for x
    x = 2,441,941,056/32,128
  6. Step 6: Final answer
    x = 76,006.63

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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.