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Finding the Third Proportional to 32,140 and 48,180

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Solution

The third proportional to 32,140 and 48,180 is: 72,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140 : 48,180 = 48,180 : x
  2. Step 2: Convert to fraction form
    32,140/48,180 = 48,180/x
  3. Step 3: Cross multiply
    32,140x = 48,180 × 48,180
  4. Step 4: Simplify right side
    32,140x = 2,321,312,400
  5. Step 5: Solve for x
    x = 2,321,312,400/32,140
  6. Step 6: Final answer
    x = 72,225.03

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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.