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Finding the Third Proportional to 32,970 and 52,420

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Solution

The third proportional to 32,970 and 52,420 is: 83,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970 : 52,420 = 52,420 : x
  2. Step 2: Convert to fraction form
    32,970/52,420 = 52,420/x
  3. Step 3: Cross multiply
    32,970x = 52,420 × 52,420
  4. Step 4: Simplify right side
    32,970x = 2,747,856,400
  5. Step 5: Solve for x
    x = 2,747,856,400/32,970
  6. Step 6: Final answer
    x = 83,344.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.