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Finding the Third Proportional to 32,260 and 48,390

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Solution

The third proportional to 32,260 and 48,390 is: 72,585

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,260 : 48,390 = 48,390 : x
  2. Step 2: Convert to fraction form
    32,260/48,390 = 48,390/x
  3. Step 3: Cross multiply
    32,260x = 48,390 × 48,390
  4. Step 4: Simplify right side
    32,260x = 2,341,592,100
  5. Step 5: Solve for x
    x = 2,341,592,100/32,260
  6. Step 6: Final answer
    x = 72,585

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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.