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Finding the Third Proportional to 20,460 and 32,640

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Solution

The third proportional to 20,460 and 32,640 is: 52,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460 : 32,640 = 32,640 : x
  2. Step 2: Convert to fraction form
    20,460/32,640 = 32,640/x
  3. Step 3: Cross multiply
    20,460x = 32,640 × 32,640
  4. Step 4: Simplify right side
    20,460x = 1,065,369,600
  5. Step 5: Solve for x
    x = 1,065,369,600/20,460
  6. Step 6: Final answer
    x = 52,070.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.