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Finding the Third Proportional to 48,696 and 73,364

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Solution

The third proportional to 48,696 and 73,364 is: 110,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 73,364 = 73,364 : x
  2. Step 2: Convert to fraction form
    48,696/73,364 = 73,364/x
  3. Step 3: Cross multiply
    48,696x = 73,364 × 73,364
  4. Step 4: Simplify right side
    48,696x = 5,382,276,496
  5. Step 5: Solve for x
    x = 5,382,276,496/48,696
  6. Step 6: Final answer
    x = 110,528.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.