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Finding the Third Proportional to 32,128 and 50,720

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Solution

The third proportional to 32,128 and 50,720 is: 80,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128 : 50,720 = 50,720 : x
  2. Step 2: Convert to fraction form
    32,128/50,720 = 50,720/x
  3. Step 3: Cross multiply
    32,128x = 50,720 × 50,720
  4. Step 4: Simplify right side
    32,128x = 2,572,518,400
  5. Step 5: Solve for x
    x = 2,572,518,400/32,128
  6. Step 6: Final answer
    x = 80,070.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.