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Finding the Third Proportional to 32,420 and 48,558

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Solution

The third proportional to 32,420 and 48,558 is: 72,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420 : 48,558 = 48,558 : x
  2. Step 2: Convert to fraction form
    32,420/48,558 = 48,558/x
  3. Step 3: Cross multiply
    32,420x = 48,558 × 48,558
  4. Step 4: Simplify right side
    32,420x = 2,357,879,364
  5. Step 5: Solve for x
    x = 2,357,879,364/32,420
  6. Step 6: Final answer
    x = 72,729.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.