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Finding the Third Proportional to 48,396 and 72,594

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Solution

The third proportional to 48,396 and 72,594 is: 108,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,396 : 72,594 = 72,594 : x
  2. Step 2: Convert to fraction form
    48,396/72,594 = 72,594/x
  3. Step 3: Cross multiply
    48,396x = 72,594 × 72,594
  4. Step 4: Simplify right side
    48,396x = 5,269,888,836
  5. Step 5: Solve for x
    x = 5,269,888,836/48,396
  6. Step 6: Final answer
    x = 108,891

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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.