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Finding the Third Proportional to 32,416 and 48,657

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Solution

The third proportional to 32,416 and 48,657 is: 73,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416 : 48,657 = 48,657 : x
  2. Step 2: Convert to fraction form
    32,416/48,657 = 48,657/x
  3. Step 3: Cross multiply
    32,416x = 48,657 × 48,657
  4. Step 4: Simplify right side
    32,416x = 2,367,503,649
  5. Step 5: Solve for x
    x = 2,367,503,649/32,416
  6. Step 6: Final answer
    x = 73,035.03

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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.