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Finding the Third Proportional to 49,575.50 and 79,807

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Solution

The third proportional to 49,575.50 and 79,807 is: 128,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,575.50 : 79,807 = 79,807 : x
  2. Step 2: Convert to fraction form
    49,575.50/79,807 = 79,807/x
  3. Step 3: Cross multiply
    49,575.50x = 79,807 × 79,807
  4. Step 4: Simplify right side
    49,575.50x = 6,369,157,249
  5. Step 5: Solve for x
    x = 6,369,157,249/49,575.50
  6. Step 6: Final answer
    x = 128,473.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.