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Finding the Third Proportional to 49,368 and 70,546

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Solution

The third proportional to 49,368 and 70,546 is: 100,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,368 : 70,546 = 70,546 : x
  2. Step 2: Convert to fraction form
    49,368/70,546 = 70,546/x
  3. Step 3: Cross multiply
    49,368x = 70,546 × 70,546
  4. Step 4: Simplify right side
    49,368x = 4,976,738,116
  5. Step 5: Solve for x
    x = 4,976,738,116/49,368
  6. Step 6: Final answer
    x = 100,808.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.