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Finding the Third Proportional to 37,964 and 88,700

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Solution

The third proportional to 37,964 and 88,700 is: 207,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,964 : 88,700 = 88,700 : x
  2. Step 2: Convert to fraction form
    37,964/88,700 = 88,700/x
  3. Step 3: Cross multiply
    37,964x = 88,700 × 88,700
  4. Step 4: Simplify right side
    37,964x = 7,867,690,000
  5. Step 5: Solve for x
    x = 7,867,690,000/37,964
  6. Step 6: Final answer
    x = 207,240.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.