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Finding the Third Proportional to 32,336 and 48,624

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Solution

The third proportional to 32,336 and 48,624 is: 73,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,336 : 48,624 = 48,624 : x
  2. Step 2: Convert to fraction form
    32,336/48,624 = 48,624/x
  3. Step 3: Cross multiply
    32,336x = 48,624 × 48,624
  4. Step 4: Simplify right side
    32,336x = 2,364,293,376
  5. Step 5: Solve for x
    x = 2,364,293,376/32,336
  6. Step 6: Final answer
    x = 73,116.45

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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.