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Finding the Third Proportional to 49,996.13 and 70,316.44

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Solution

The third proportional to 49,996.13 and 70,316.44 is: 98,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,996.13 : 70,316.44 = 70,316.44 : x
  2. Step 2: Convert to fraction form
    49,996.13/70,316.44 = 70,316.44/x
  3. Step 3: Cross multiply
    49,996.13x = 70,316.44 × 70,316.44
  4. Step 4: Simplify right side
    49,996.13x = 4,944,401,382.69
  5. Step 5: Solve for x
    x = 4,944,401,382.69/49,996.13
  6. Step 6: Final answer
    x = 98,895.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.