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Finding the Third Proportional to 37,288 and 70,808

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Solution

The third proportional to 37,288 and 70,808 is: 134,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,288 : 70,808 = 70,808 : x
  2. Step 2: Convert to fraction form
    37,288/70,808 = 70,808/x
  3. Step 3: Cross multiply
    37,288x = 70,808 × 70,808
  4. Step 4: Simplify right side
    37,288x = 5,013,772,864
  5. Step 5: Solve for x
    x = 5,013,772,864/37,288
  6. Step 6: Final answer
    x = 134,460.76

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.