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Finding the Third Proportional to 32,460 and 48,690

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Solution

The third proportional to 32,460 and 48,690 is: 73,035

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460 : 48,690 = 48,690 : x
  2. Step 2: Convert to fraction form
    32,460/48,690 = 48,690/x
  3. Step 3: Cross multiply
    32,460x = 48,690 × 48,690
  4. Step 4: Simplify right side
    32,460x = 2,370,716,100
  5. Step 5: Solve for x
    x = 2,370,716,100/32,460
  6. Step 6: Final answer
    x = 73,035

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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.