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Finding the Third Proportional to 49,558 and 70,646

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Solution

The third proportional to 49,558 and 70,646 is: 100,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,558 : 70,646 = 70,646 : x
  2. Step 2: Convert to fraction form
    49,558/70,646 = 70,646/x
  3. Step 3: Cross multiply
    49,558x = 70,646 × 70,646
  4. Step 4: Simplify right side
    49,558x = 4,990,857,316
  5. Step 5: Solve for x
    x = 4,990,857,316/49,558
  6. Step 6: Final answer
    x = 100,707.40

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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.