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Finding the Third Proportional to 42,700 and 91,717.50

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Solution

The third proportional to 42,700 and 91,717.50 is: 197,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,700 : 91,717.50 = 91,717.50 : x
  2. Step 2: Convert to fraction form
    42,700/91,717.50 = 91,717.50/x
  3. Step 3: Cross multiply
    42,700x = 91,717.50 × 91,717.50
  4. Step 4: Simplify right side
    42,700x = 8,412,099,806.25
  5. Step 5: Solve for x
    x = 8,412,099,806.25/42,700
  6. Step 6: Final answer
    x = 197,004.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.